Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240cz |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
-7.195474944E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32399841,70974695295] |
[a1,a2,a3,a4,a6] |
Generators |
[2802:46875:1] |
Generators of the group modulo torsion |
j |
-14348696196102335214841/274485585937500 |
j-invariant |
L |
8.04359548249 |
L(r)(E,1)/r! |
Ω |
0.17898669911936 |
Real period |
R |
2.2469813475345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240gc1 3570e1 |
Quadratic twists by: -4 8 |