Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31200ch |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1965150720000 = -1 · 212 · 310 · 54 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 13+ -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19633,1054463] |
[a1,a2,a3,a4,a6] |
Generators |
[59:324:1] [83:60:1] |
Generators of the group modulo torsion |
j |
-326938350400/767637 |
j-invariant |
L |
9.0274621189707 |
L(r)(E,1)/r! |
Ω |
0.83203074568955 |
Real period |
R |
0.090415950830135 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31200k1 62400bw1 93600cf1 31200i1 |
Quadratic twists by: -4 8 -3 5 |