Atkin-Lehner |
2+ 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850bo |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
892800 |
Modular degree for the optimal curve |
Δ |
-1300436496562500000 = -1 · 25 · 34 · 510 · 116 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-625951,-198406702] |
[a1,a2,a3,a4,a6] |
j |
-2777433594125425/133164697248 |
j-invariant |
L |
2.0311066760411 |
L(r)(E,1)/r! |
Ω |
0.08462944484501 |
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 |
47850cj1 |
Quadratic twists by: 5 |