Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200er |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
1.2410625727828E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3505950,2469214125] |
[a1,a2,a3,a4,a6] |
Generators |
[385:34300:1] |
Generators of the group modulo torsion |
j |
8232302592/214375 |
j-invariant |
L |
6.7314995596275 |
L(r)(E,1)/r! |
Ω |
0.18530624658155 |
Real period |
R |
2.2703968722923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957629 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88200f1 17640c1 12600bi1 |
Quadratic twists by: -3 5 -7 |