Atkin-Lehner |
3- 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61275i |
Isogeny class |
Conductor |
61275 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
8087040 |
Modular degree for the optimal curve |
Δ |
-5.9997287528846E+22 |
Discriminant |
Eigenvalues |
-1 3- 5+ 5 4 -2 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9351362,4211875517] |
[a1,a2,a3,a4,a6] |
j |
5787996915620207558375/3839826401846122257 |
j-invariant |
L |
3.6214250349998 |
L(r)(E,1)/r! |
Ω |
0.069642789143226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2451c1 |
Quadratic twists by: 5 |