Atkin-Lehner |
2+ 3+ 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
85608f |
Isogeny class |
Conductor |
85608 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-12911389485552 = -1 · 24 · 39 · 293 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 -1 3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29619,1969623] |
[a1,a2,a3,a4,a6] |
Generators |
[19:1189:1] |
Generators of the group modulo torsion |
j |
-9124805419776/40997909 |
j-invariant |
L |
7.9754949186008 |
L(r)(E,1)/r! |
Ω |
0.71316707319314 |
Real period |
R |
0.46596695294224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85608k1 |
Quadratic twists by: -3 |