Atkin-Lehner |
2+ 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
116280b |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
7870702500000000 = 28 · 33 · 510 · 17 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104103,-12203398] |
[a1,a2,a3,a4,a6] |
j |
18051351281611632/1138701171875 |
j-invariant |
L |
1.6010262334702 |
L(r)(E,1)/r! |
Ω |
0.26683781304609 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116280bg1 |
Quadratic twists by: -3 |