Atkin-Lehner |
2- 3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670bh |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
111656816424720 = 24 · 34 · 5 · 710 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28421,-1784581] |
[a1,a2,a3,a4,a6] |
Generators |
[237:2086:1] |
Generators of the group modulo torsion |
j |
21580151584321/949067280 |
j-invariant |
L |
6.6263806983418 |
L(r)(E,1)/r! |
Ω |
0.36869642517376 |
Real period |
R |
2.2465571401578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810w1 |
Quadratic twists by: -7 |