Atkin-Lehner |
7- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
25333c |
Isogeny class |
Conductor |
25333 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-764113244248739 = -1 · 76 · 113 · 474 |
Discriminant |
Eigenvalues |
2 1 3 7- 11- 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2564,1330039] |
[a1,a2,a3,a4,a6] |
Generators |
[58:9159:8] |
Generators of the group modulo torsion |
j |
-15851081728/6494855411 |
j-invariant |
L |
14.766274364045 |
L(r)(E,1)/r! |
Ω |
0.4098419289476 |
Real period |
R |
3.0024328326538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
517c1 |
Quadratic twists by: -7 |