Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850bd |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-705514700800000000 = -1 · 224 · 58 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 3 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3751501,-2797367352] |
[a1,a2,a3,a4,a6] |
Generators |
[29923:5150094:1] |
Generators of the group modulo torsion |
j |
-7626453723007966609/921488588800 |
j-invariant |
L |
2.9121542179969 |
L(r)(E,1)/r! |
Ω |
0.0542394351319 |
Real period |
R |
4.4742265028436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370w1 31850c1 |
Quadratic twists by: 5 -7 |