Atkin-Lehner |
2- 5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
50470n |
Isogeny class |
Conductor |
50470 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-831284304200 = -1 · 23 · 52 · 79 · 103 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 6 -5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33615,-2386595] |
[a1,a2,a3,a4,a6] |
j |
-35705541701089/7065800 |
j-invariant |
L |
4.2309929200654 |
L(r)(E,1)/r! |
Ω |
0.17629137167136 |
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 |
7210g1 |
Quadratic twists by: -7 |