Atkin-Lehner |
2- 3+ 5+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80910m |
Isogeny class |
Conductor |
80910 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
23065952256000 = 218 · 33 · 53 · 292 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-203168,-35196093] |
[a1,a2,a3,a4,a6] |
Generators |
[525:1361:1] |
Generators of the group modulo torsion |
j |
34349772111086361987/854294528000 |
j-invariant |
L |
11.437030270236 |
L(r)(E,1)/r! |
Ω |
0.2248726011017 |
Real period |
R |
2.8255579704406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80910c1 |
Quadratic twists by: -3 |