Atkin-Lehner |
2- 3- 5+ 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120870x |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
371200 |
Modular degree for the optimal curve |
Δ |
-9249879408480 = -1 · 25 · 316 · 5 · 17 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -1 5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5918,-226803] |
[a1,a2,a3,a4,a6] |
j |
-31437808611481/12688449120 |
j-invariant |
L |
5.3372211974355 |
L(r)(E,1)/r! |
Ω |
0.26686102290724 |
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 |
40290f1 |
Quadratic twists by: -3 |