Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672bf |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1610752 = 210 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 1 0 -4 11- 13- 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-293,1835] |
[a1,a2,a3,a4,a6] |
Generators |
[11:8:1] |
Generators of the group modulo torsion |
j |
22528000/13 |
j-invariant |
L |
5.4919411200937 |
L(r)(E,1)/r! |
Ω |
2.6375256986535 |
Real period |
R |
1.0411161334957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672dv1 6292e1 100672f1 |
Quadratic twists by: -4 8 -11 |