Atkin-Lehner |
2- 3- 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
84912bd |
Isogeny class |
Conductor |
84912 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-3519442097012736 = -1 · 227 · 35 · 29 · 612 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -2 -2 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1960,2853812] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:1098:1] |
Generators of the group modulo torsion |
j |
-203401212841/859238793216 |
j-invariant |
L |
10.216212159521 |
L(r)(E,1)/r! |
Ω |
0.35671767311958 |
Real period |
R |
1.4319744892558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10614d1 |
Quadratic twists by: -4 |