Atkin-Lehner |
2+ 7- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
98686g |
Isogeny class |
Conductor |
98686 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
3750068 = 22 · 72 · 192 · 53 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 5 1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40,18] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:10:1] |
Generators of the group modulo torsion |
j |
139317577/76532 |
j-invariant |
L |
4.590576701979 |
L(r)(E,1)/r! |
Ω |
2.1624194201619 |
Real period |
R |
0.53072228592628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999799158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98686a1 |
Quadratic twists by: -7 |