Atkin-Lehner |
2- 3- 5+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
80910t |
Isogeny class |
Conductor |
80910 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
467712 |
Modular degree for the optimal curve |
Δ |
-8210487888000 = -1 · 27 · 39 · 53 · 292 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -3 0 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-195998,33447597] |
[a1,a2,a3,a4,a6] |
Generators |
[197:1467:1] [-235:8271:1] |
Generators of the group modulo torsion |
j |
-1142218068141611161/11262672000 |
j-invariant |
L |
13.601216940547 |
L(r)(E,1)/r! |
Ω |
0.66572363538753 |
Real period |
R |
0.36483438626946 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26970c1 |
Quadratic twists by: -3 |