Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10580n |
Isogeny class |
Conductor |
10580 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-381123903165570800 = -1 · 24 · 52 · 2311 |
Discriminant |
Eigenvalues |
2- 3 5- -2 0 -3 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38617,-29845651] |
[a1,a2,a3,a4,a6] |
j |
-2688885504/160908575 |
j-invariant |
L |
4.2337303695275 |
L(r)(E,1)/r! |
Ω |
0.13230407404773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42320be1 95220m1 52900v1 460b1 |
Quadratic twists by: -4 -3 5 -23 |