Atkin-Lehner |
3+ 7- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
114807i |
Isogeny class |
Conductor |
114807 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
24857207991 = 310 · 72 · 112 · 71 |
Discriminant |
Eigenvalues |
-1 3+ 3 7- 11- 0 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-904,-7582] |
[a1,a2,a3,a4,a6] |
Generators |
[38:102:1] |
Generators of the group modulo torsion |
j |
1667488890193/507289959 |
j-invariant |
L |
4.4640326053916 |
L(r)(E,1)/r! |
Ω |
0.89125069353451 |
Real period |
R |
1.2521820991889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998836416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114807n1 |
Quadratic twists by: -7 |