Atkin-Lehner |
2- 3+ 5+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80910j |
Isogeny class |
Conductor |
80910 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
4105243944000 = 26 · 39 · 53 · 292 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4268,-43793] |
[a1,a2,a3,a4,a6] |
j |
436727211003/208568000 |
j-invariant |
L |
3.7152909831188 |
L(r)(E,1)/r! |
Ω |
0.61921517120585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80910d1 |
Quadratic twists by: -3 |