Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fh |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4.180008795984E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19285001841,-1030801239749295] |
[a1,a2,a3,a4,a6] |
Generators |
[-2744299843491496314151422604783024019841774725847056665375729619256543395605419851016155702447306077038949330418320790848885561512653864:-3327620083688534695863071837257244898152432031992093583532501346336353745126984280610744981922624150486432471436028909321587871250663:34228038606821177142890063532552736665942578600394353937731048928888622524570187301439776725097344079408678736335633027695596364229] |
Generators of the group modulo torsion |
j |
48413092692798920640638000629456/2551274899892578125 |
j-invariant |
L |
5.2913669581486 |
L(r)(E,1)/r! |
Ω |
0.012811342254685 |
Real period |
R |
206.51102956107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ds2 28560bq2 |
Quadratic twists by: -4 8 |