Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31434p |
Isogeny class |
Conductor |
31434 |
Conductor |
∏ cp |
119 |
Product of Tamagawa factors cp |
deg |
2970240 |
Modular degree for the optimal curve |
Δ |
1.4809307856194E+20 |
Discriminant |
Eigenvalues |
2- 3+ 1 -5 -2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18273655,-30068646067] |
[a1,a2,a3,a4,a6] |
Generators |
[-2453:3210:1] |
Generators of the group modulo torsion |
j |
3993128379105984704358409/876290405691949056 |
j-invariant |
L |
5.7739502876262 |
L(r)(E,1)/r! |
Ω |
0.073021192042753 |
Real period |
R |
0.66447272764201 |
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 |
94302w1 31434c1 |
Quadratic twists by: -3 13 |