Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200u |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
613700000000 = 28 · 58 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 0 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2908,46188] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:152:1] |
Generators of the group modulo torsion |
j |
680136784/153425 |
j-invariant |
L |
3.9989771724673 |
L(r)(E,1)/r! |
Ω |
0.8619286070898 |
Real period |
R |
2.3197846178506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999993089303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64600g1 25840a1 |
Quadratic twists by: -4 5 |