Atkin-Lehner |
2+ 3+ 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87768a |
Isogeny class |
Conductor |
87768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-298936167791616 = -1 · 210 · 39 · 234 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -2 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37611,2928150] |
[a1,a2,a3,a4,a6] |
j |
-291928909356/14831573 |
j-invariant |
L |
1.0797684680948 |
L(r)(E,1)/r! |
Ω |
0.53988418836278 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87768g1 |
Quadratic twists by: -3 |