Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
7952h |
Isogeny class |
Conductor |
7952 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-5552477765632 = -1 · 216 · 75 · 712 |
Discriminant |
Eigenvalues |
2- 2 2 7- -4 0 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4088,50928] |
[a1,a2,a3,a4,a6] |
Generators |
[276:4704:1] |
Generators of the group modulo torsion |
j |
1844124275447/1355585392 |
j-invariant |
L |
6.4366037010529 |
L(r)(E,1)/r! |
Ω |
0.4852318473232 |
Real period |
R |
1.3265006690226 |
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 |
994b1 31808y1 71568cb1 55664q1 |
Quadratic twists by: -4 8 -3 -7 |