Atkin-Lehner |
2- 3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670bh |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
14073885968228100 = 22 · 38 · 52 · 78 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-76441,5764163] |
[a1,a2,a3,a4,a6] |
Generators |
[-1786:28329:8] |
Generators of the group modulo torsion |
j |
419870059539841/119626056900 |
j-invariant |
L |
6.6263806983418 |
L(r)(E,1)/r! |
Ω |
0.36869642517376 |
Real period |
R |
4.4931142803157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009271 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12810w2 |
Quadratic twists by: -7 |