Atkin-Lehner |
2+ 3- 5+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
117150t |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-12081093750000 = -1 · 24 · 32 · 510 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1974,163948] |
[a1,a2,a3,a4,a6] |
Generators |
[17:441:1] |
Generators of the group modulo torsion |
j |
54483042671/773190000 |
j-invariant |
L |
7.0328002368716 |
L(r)(E,1)/r! |
Ω |
0.52897863426072 |
Real period |
R |
1.6618819175377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23430g1 |
Quadratic twists by: 5 |