Atkin-Lehner |
2+ 3- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71994u |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-347501287146 = -1 · 2 · 3 · 138 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 3 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-173,-28390] |
[a1,a2,a3,a4,a6] |
Generators |
[13538:49083:343] |
Generators of the group modulo torsion |
j |
-117649/71994 |
j-invariant |
L |
7.1805506441118 |
L(r)(E,1)/r! |
Ω |
0.43142123636114 |
Real period |
R |
4.1609858527517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5538p1 |
Quadratic twists by: 13 |