Atkin-Lehner |
2- 3+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71994z |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
-91095377417601024 = -1 · 219 · 3 · 138 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 -3 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,111959,-1673833] |
[a1,a2,a3,a4,a6] |
Generators |
[343:-8960:1] [31:1336:1] |
Generators of the group modulo torsion |
j |
32154398375399/18872795136 |
j-invariant |
L |
11.488170532275 |
L(r)(E,1)/r! |
Ω |
0.19934449060849 |
Real period |
R |
0.75828601092142 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5538c1 |
Quadratic twists by: 13 |