Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
31200q |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-112320000000 = -1 · 212 · 33 · 57 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -1 13- 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3133,68363] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:300:1] |
Generators of the group modulo torsion |
j |
-53157376/1755 |
j-invariant |
L |
7.3963126151368 |
L(r)(E,1)/r! |
Ω |
1.0483472303936 |
Real period |
R |
0.29396719270357 |
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 |
31200bl1 62400d1 93600du1 6240w1 |
Quadratic twists by: -4 8 -3 5 |