Atkin-Lehner |
2- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
61936i |
Isogeny class |
Conductor |
61936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
61125340914778112 = 227 · 78 · 79 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ -5 -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-149891,18905474] |
[a1,a2,a3,a4,a6] |
Generators |
[65:3072:1] |
Generators of the group modulo torsion |
j |
15772702617/2588672 |
j-invariant |
L |
2.5203390186922 |
L(r)(E,1)/r! |
Ω |
0.33492391310974 |
Real period |
R |
1.8812772992267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7742a1 61936s1 |
Quadratic twists by: -4 -7 |