Atkin-Lehner |
2+ 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
116280s |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
6084467280 = 24 · 36 · 5 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4278,107633] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:459:1] [28:99:1] |
Generators of the group modulo torsion |
j |
742332614656/521645 |
j-invariant |
L |
10.806888934832 |
L(r)(E,1)/r! |
Ω |
1.3311596826523 |
Real period |
R |
2.0296004073787 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12920m1 |
Quadratic twists by: -3 |