Atkin-Lehner |
2- 3- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30636d |
Isogeny class |
Conductor |
30636 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-586124153136 = -1 · 24 · 316 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1824,-21395] |
[a1,a2,a3,a4,a6] |
Generators |
[59:540:1] [203:2952:1] |
Generators of the group modulo torsion |
j |
57537462272/50250699 |
j-invariant |
L |
7.2085350643082 |
L(r)(E,1)/r! |
Ω |
0.50535738201175 |
Real period |
R |
14.264232246125 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122544bb1 10212a1 |
Quadratic twists by: -4 -3 |