Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ku |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
9.44799588936E+18 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1881965,982030275] |
[a1,a2,a3,a4,a6] |
Generators |
[-905:44100:1] |
Generators of the group modulo torsion |
j |
719877522386433132544/9226558485703125 |
j-invariant |
L |
10.524574156659 |
L(r)(E,1)/r! |
Ω |
0.23107567962765 |
Real period |
R |
0.21688574007984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240br1 28560j1 |
Quadratic twists by: -4 8 |