Atkin-Lehner |
3- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57717p |
Isogeny class |
Conductor |
57717 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-51425847 = -1 · 36 · 113 · 53 |
Discriminant |
Eigenvalues |
-1 3- 2 -4 11+ 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,76,-250] |
[a1,a2,a3,a4,a6] |
Generators |
[28:138:1] |
Generators of the group modulo torsion |
j |
50653/53 |
j-invariant |
L |
3.7779426285747 |
L(r)(E,1)/r! |
Ω |
1.0839983372869 |
Real period |
R |
3.4851922726102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6413a1 57717o1 |
Quadratic twists by: -3 -11 |