Atkin-Lehner |
2+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
95648b |
Isogeny class |
Conductor |
95648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
348096 |
Modular degree for the optimal curve |
Δ |
-180046264832 = -1 · 29 · 78 · 61 |
Discriminant |
Eigenvalues |
2+ -3 2 7+ 0 -6 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45619,-3750362] |
[a1,a2,a3,a4,a6] |
j |
-3557187144/61 |
j-invariant |
L |
0.32667226723516 |
L(r)(E,1)/r! |
Ω |
0.16333628438325 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95648n1 95648f1 |
Quadratic twists by: -4 -7 |