Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490cb |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
624761820207360 = 28 · 32 · 5 · 119 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21601,214985] |
[a1,a2,a3,a4,a6] |
Generators |
[266:3515:1] |
Generators of the group modulo torsion |
j |
472729139/264960 |
j-invariant |
L |
13.650426362723 |
L(r)(E,1)/r! |
Ω |
0.44376678477517 |
Real period |
R |
3.8450450859954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83490s1 |
Quadratic twists by: -11 |