Atkin-Lehner |
2- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
79618bd |
Isogeny class |
Conductor |
79618 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-11735056256 = -1 · 27 · 73 · 112 · 472 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 11- -3 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,421,4049] |
[a1,a2,a3,a4,a6] |
Generators |
[44:307:1] |
Generators of the group modulo torsion |
j |
68189915783/96983936 |
j-invariant |
L |
9.2476327587143 |
L(r)(E,1)/r! |
Ω |
0.86083238249448 |
Real period |
R |
0.25577770630007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79618h1 |
Quadratic twists by: -11 |