Atkin-Lehner |
2+ 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920y |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4320000 |
Modular degree for the optimal curve |
Δ |
-5185174629600000 = -1 · 28 · 36 · 55 · 75 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 1 5 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18643908,-30985145732] |
[a1,a2,a3,a4,a6] |
j |
-3840316976122235063296/27784071875 |
j-invariant |
L |
3.2694728519971 |
L(r)(E,1)/r! |
Ω |
0.036327484071953 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57960h1 12880g1 |
Quadratic twists by: -4 -3 |