Atkin-Lehner |
2- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10010q |
Isogeny class |
Conductor |
10010 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-488766923344700 = -1 · 22 · 52 · 710 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2193,1064957] |
[a1,a2,a3,a4,a6] |
j |
-1165880220753249/488766923344700 |
j-invariant |
L |
2.5519311553374 |
L(r)(E,1)/r! |
Ω |
0.4253218592229 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80080ba1 90090bm1 50050r1 70070ch1 |
Quadratic twists by: -4 -3 5 -7 |