Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792cz |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-25165873152 = -1 · 214 · 36 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -5 7 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-901,-13213] |
[a1,a2,a3,a4,a6] |
j |
-4942652416/1536003 |
j-invariant |
L |
5.1460430047192 |
L(r)(E,1)/r! |
Ω |
0.4288369171527 |
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 |
57792o1 14448g1 |
Quadratic twists by: -4 8 |