Atkin-Lehner |
2+ 7- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
76538r |
Isogeny class |
Conductor |
76538 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3312384 |
Modular degree for the optimal curve |
Δ |
115712328829239296 = 238 · 72 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ -2 3 7- 11+ -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8632482,-9762993292] |
[a1,a2,a3,a4,a6] |
Generators |
[97014:30154528:1] |
Generators of the group modulo torsion |
j |
1451892975766168785931753/2361476098555904 |
j-invariant |
L |
3.6291504733411 |
L(r)(E,1)/r! |
Ω |
0.088077642702522 |
Real period |
R |
10.300997959955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76538e1 |
Quadratic twists by: -7 |