Atkin-Lehner |
2- 3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
90846ck |
Isogeny class |
Conductor |
90846 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18063360 |
Modular degree for the optimal curve |
Δ |
-120712855397956416 = -1 · 26 · 33 · 714 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 2 -1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1298879147,18018102656187] |
[a1,a2,a3,a4,a6] |
Generators |
[2600995:-1299678:125] |
Generators of the group modulo torsion |
j |
-76291813922458084261302627/38001568192 |
j-invariant |
L |
11.810955611695 |
L(r)(E,1)/r! |
Ω |
0.14102970064171 |
Real period |
R |
3.4895000730269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90846k1 12978s1 |
Quadratic twists by: -3 -7 |