Atkin-Lehner |
2+ 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
93456b |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-542792448 = -1 · 28 · 33 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11+ 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36,-1124] |
[a1,a2,a3,a4,a6] |
j |
-746496/78529 |
j-invariant |
L |
1.4554802251873 |
L(r)(E,1)/r! |
Ω |
0.72774005659134 |
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 |
46728b1 93456d1 |
Quadratic twists by: -4 -3 |