Atkin-Lehner |
5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33635c |
Isogeny class |
Conductor |
33635 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-2.9313264330083E+23 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- -4 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,12357179,-19979133239] |
[a1,a2,a3,a4,a6] |
Generators |
[1890885:501010129:27] |
Generators of the group modulo torsion |
j |
235131885842333696/330288932402555 |
j-invariant |
L |
2.0480756725291 |
L(r)(E,1)/r! |
Ω |
0.051690882329923 |
Real period |
R |
2.4763502529534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1085b1 |
Quadratic twists by: -31 |