Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69192l |
Isogeny class |
Conductor |
69192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1490665382666496 = 28 · 38 · 316 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37479,2085370] |
[a1,a2,a3,a4,a6] |
Generators |
[-1126567:13388760:6859] |
Generators of the group modulo torsion |
j |
35152/9 |
j-invariant |
L |
8.2604190496714 |
L(r)(E,1)/r! |
Ω |
0.44724051107749 |
Real period |
R |
9.2348734575971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998161 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23064m2 72a2 |
Quadratic twists by: -3 -31 |