Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
31200bm |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-5686200000000000 = -1 · 212 · 37 · 511 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 13- 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1121133,457301637] |
[a1,a2,a3,a4,a6] |
Generators |
[427:7500:1] |
Generators of the group modulo torsion |
j |
-2435092894982656/88846875 |
j-invariant |
L |
4.2449620394698 |
L(r)(E,1)/r! |
Ω |
0.3999167339557 |
Real period |
R |
1.3268268363896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31200cc1 62400gg1 93600bm1 6240p1 |
Quadratic twists by: -4 8 -3 5 |