Atkin-Lehner |
2+ 3+ 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370w |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
56609280 |
Modular degree for the optimal curve |
Δ |
-1.1644172933196E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3455000707,-78167878241459] |
[a1,a2,a3,a4,a6] |
j |
-38768579986086622574716800169/98973836863856640 |
j-invariant |
L |
1.4768919618409 |
L(r)(E,1)/r! |
Ω |
0.0098459476828114 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910s1 |
Quadratic twists by: -7 |