Atkin-Lehner |
2+ 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
116288p |
Isogeny class |
Conductor |
116288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
2674624 = 26 · 232 · 79 |
Discriminant |
Eigenvalues |
2+ -1 1 3 0 5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,-46] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:2:1] |
Generators of the group modulo torsion |
j |
113379904/41791 |
j-invariant |
L |
7.538022768106 |
L(r)(E,1)/r! |
Ω |
1.9531839035291 |
Real period |
R |
1.9296756278281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116288b1 58144a1 |
Quadratic twists by: -4 8 |