Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88088m |
Isogeny class |
Conductor |
88088 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
289470068274779392 = 28 · 74 · 118 · 133 |
Discriminant |
Eigenvalues |
2+ 1 -4 7- 11- 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-191220,19061744] |
[a1,a2,a3,a4,a6] |
Generators |
[40:3388:1] |
Generators of the group modulo torsion |
j |
14091086416/5274997 |
j-invariant |
L |
4.9310614501148 |
L(r)(E,1)/r! |
Ω |
0.28124875072398 |
Real period |
R |
0.73053086815182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999864586 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88088w1 |
Quadratic twists by: -11 |