Atkin-Lehner |
2- 5- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
51350y |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
649440 |
Modular degree for the optimal curve |
Δ |
-305054328800000000 = -1 · 211 · 58 · 136 · 79 |
Discriminant |
Eigenvalues |
2- 1 5- 4 2 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-102763,-29451983] |
[a1,a2,a3,a4,a6] |
j |
-307237529645905/780939081728 |
j-invariant |
L |
8.190686760162 |
L(r)(E,1)/r! |
Ω |
0.12410131456059 |
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 |
51350a1 |
Quadratic twists by: 5 |