Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
7952g |
Isogeny class |
Conductor |
7952 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-127232 = -1 · 28 · 7 · 71 |
Discriminant |
Eigenvalues |
2- -1 2 7- 5 -3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12,28] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
-810448/497 |
j-invariant |
L |
4.2437251871297 |
L(r)(E,1)/r! |
Ω |
3.0520916478821 |
Real period |
R |
1.3904317683496 |
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 |
1988a1 31808w1 71568cc1 55664m1 |
Quadratic twists by: -4 8 -3 -7 |