Atkin-Lehner |
2+ 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7462c |
Isogeny class |
Conductor |
7462 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
1122778200334336 = 213 · 7 · 132 · 415 |
Discriminant |
Eigenvalues |
2+ 1 -1 7+ -6 13- -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-282139,-57683162] |
[a1,a2,a3,a4,a6] |
j |
2483767085282493185449/1122778200334336 |
j-invariant |
L |
0.41431030615913 |
L(r)(E,1)/r! |
Ω |
0.20715515307956 |
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 |
59696u1 67158bs1 52234i1 97006q1 |
Quadratic twists by: -4 -3 -7 13 |