Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
31200bl |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
8 |
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 |
[107:900:1] |
Generators of the group modulo torsion |
j |
-53157376/1755 |
j-invariant |
L |
4.7999605517697 |
L(r)(E,1)/r! |
Ω |
0.31843811561386 |
Real period |
R |
1.8841810686343 |
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 |
31200q1 62400cg1 93600bl1 6240o1 |
Quadratic twists by: -4 8 -3 5 |