Atkin-Lehner |
2- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31262g |
Isogeny class |
Conductor |
31262 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-85815868644352 = -1 · 210 · 77 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11+ 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,260,445631] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:653:1] |
Generators of the group modulo torsion |
j |
16581375/729422848 |
j-invariant |
L |
7.8941162745643 |
L(r)(E,1)/r! |
Ω |
0.47910217507354 |
Real period |
R |
0.82384475434207 |
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 |
4466c1 |
Quadratic twists by: -7 |