Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88088p |
Isogeny class |
Conductor |
88088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
2254229705728 = 210 · 72 · 112 · 135 |
Discriminant |
Eigenvalues |
2+ -3 0 7- 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11275,-455114] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:56:1] |
Generators of the group modulo torsion |
j |
1279346062500/18193357 |
j-invariant |
L |
3.355755406329 |
L(r)(E,1)/r! |
Ω |
0.46370775621574 |
Real period |
R |
1.8091973659669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88088bb1 |
Quadratic twists by: -11 |