Atkin-Lehner |
2+ 3- 5- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
26970h |
Isogeny class |
Conductor |
26970 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
51898392576000 = 216 · 35 · 53 · 292 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17143,-792742] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:260:1] |
Generators of the group modulo torsion |
j |
557118743481769321/51898392576000 |
j-invariant |
L |
5.5791430247481 |
L(r)(E,1)/r! |
Ω |
0.41972575567673 |
Real period |
R |
0.8861568852663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80910s1 |
Quadratic twists by: -3 |