Atkin-Lehner |
2- 7+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
88816j |
Isogeny class |
Conductor |
88816 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
540291220897792 = 218 · 7 · 136 · 61 |
Discriminant |
Eigenvalues |
2- 1 -2 7+ -1 13- -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44504,3421460] |
[a1,a2,a3,a4,a6] |
Generators |
[92:338:1] |
Generators of the group modulo torsion |
j |
2379965510436697/131907036352 |
j-invariant |
L |
4.6167898554456 |
L(r)(E,1)/r! |
Ω |
0.51223057646023 |
Real period |
R |
0.75109238894877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11102d1 |
Quadratic twists by: -4 |