Atkin-Lehner |
2- 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550fy |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-132167700000000 = -1 · 28 · 36 · 58 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-305555,65088947] |
[a1,a2,a3,a4,a6] |
Generators |
[369:-1760:1] [-81:9490:1] |
Generators of the group modulo torsion |
j |
-11079062208265/464128 |
j-invariant |
L |
17.288570513732 |
L(r)(E,1)/r! |
Ω |
0.54902682018797 |
Real period |
R |
0.32801544390009 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12950j1 116550bi1 |
Quadratic twists by: -3 5 |