Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215cs |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-2013499918082835 = -1 · 310 · 5 · 79 · 132 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -3 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-95125,-11528786] |
[a1,a2,a3,a4,a6] |
j |
-13958643712/295245 |
j-invariant |
L |
2.7150718967415 |
L(r)(E,1)/r! |
Ω |
0.13575367303176 |
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 |
124215d1 124215ca1 |
Quadratic twists by: -7 13 |