Atkin-Lehner |
2+ 7+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
98686a |
Isogeny class |
Conductor |
98686 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
441191750132 = 22 · 78 · 192 · 53 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 5 -1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1936,-8196] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:60:1] |
Generators of the group modulo torsion |
j |
139317577/76532 |
j-invariant |
L |
6.063347907222 |
L(r)(E,1)/r! |
Ω |
0.76945799130966 |
Real period |
R |
1.9700061545455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885295 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98686g1 |
Quadratic twists by: -7 |