Atkin-Lehner |
2- 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
114076f |
Isogeny class |
Conductor |
114076 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
235872 |
Modular degree for the optimal curve |
Δ |
951455897344 = 28 · 196 · 79 |
Discriminant |
Eigenvalues |
2- 3 1 1 -6 1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2527,13718] |
[a1,a2,a3,a4,a6] |
Generators |
[-726864:19168739:110592] |
Generators of the group modulo torsion |
j |
148176/79 |
j-invariant |
L |
13.609728893442 |
L(r)(E,1)/r! |
Ω |
0.77203662707431 |
Real period |
R |
8.8141730431924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
316b1 |
Quadratic twists by: -19 |