Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56316i |
Isogeny class |
Conductor |
56316 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
2006400 |
Modular degree for the optimal curve |
Δ |
-1.9023898848766E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14611956,-21513733884] |
[a1,a2,a3,a4,a6] |
Generators |
[4452:41154:1] |
Generators of the group modulo torsion |
j |
-4176634151536/2302911 |
j-invariant |
L |
6.2791336345078 |
L(r)(E,1)/r! |
Ω |
0.038608071151682 |
Real period |
R |
2.4642098287442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56316h1 |
Quadratic twists by: -19 |