Atkin-Lehner |
3- 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61275j |
Isogeny class |
Conductor |
61275 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6078240 |
Modular degree for the optimal curve |
Δ |
-6.1596887152543E+21 |
Discriminant |
Eigenvalues |
2 3- 5+ 0 6 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2018308,-3934700081] |
[a1,a2,a3,a4,a6] |
j |
-58192394268587511808/394220077776277131 |
j-invariant |
L |
6.8119701111747 |
L(r)(E,1)/r! |
Ω |
0.056297273653274 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2451f1 |
Quadratic twists by: 5 |