Atkin-Lehner |
2- 3- 5+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80910o |
Isogeny class |
Conductor |
80910 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
-1.2382598548685E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -3 0 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-700268,-580778769] |
[a1,a2,a3,a4,a6] |
Generators |
[1205:17397:1] |
Generators of the group modulo torsion |
j |
-52094088703702153081/169857318912000000 |
j-invariant |
L |
8.8036508391245 |
L(r)(E,1)/r! |
Ω |
0.076001508406534 |
Real period |
R |
1.3163092273486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26970b1 |
Quadratic twists by: -3 |