Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840bd |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12257280 |
Modular degree for the optimal curve |
Δ |
-5.4069519700461E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 2 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,144088173,-899126327214] |
[a1,a2,a3,a4,a6] |
Generators |
[38827488025070552839171430663035240615:-44539541350373719201142335011587425828864:29509535616764909798575193814559] |
Generators of the group modulo torsion |
j |
4103528704038359904573/6706582499172024320 |
j-invariant |
L |
5.9623786007164 |
L(r)(E,1)/r! |
Ω |
0.027384752628111 |
Real period |
R |
54.431554318624 |
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 |
4230h1 33840ba1 |
Quadratic twists by: -4 -3 |