Atkin-Lehner |
2+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
92512c |
Isogeny class |
Conductor |
92512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-9066176 = -1 · 26 · 74 · 59 |
Discriminant |
Eigenvalues |
2+ 3 -3 7+ -2 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49,-196] |
[a1,a2,a3,a4,a6] |
j |
-84672/59 |
j-invariant |
L |
1.7505143345399 |
L(r)(E,1)/r! |
Ω |
0.87525712773394 |
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 |
92512g1 92512e1 |
Quadratic twists by: -4 -7 |