Atkin-Lehner |
2- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
71188a |
Isogeny class |
Conductor |
71188 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-59228416 = -1 · 28 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 0 1 -2 0 13+ 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-407,3182] |
[a1,a2,a3,a4,a6] |
Generators |
[7:26:1] [67:526:1] |
Generators of the group modulo torsion |
j |
-21274704/169 |
j-invariant |
L |
10.247384412121 |
L(r)(E,1)/r! |
Ω |
1.9866274643691 |
Real period |
R |
0.8596968644853 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71188c1 |
Quadratic twists by: 37 |