Atkin-Lehner |
2+ 3- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478bp |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
6561628416 = 28 · 32 · 73 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-740,6626] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:127:1] |
Generators of the group modulo torsion |
j |
130400972911/19130112 |
j-invariant |
L |
8.6005318679921 |
L(r)(E,1)/r! |
Ω |
1.2809746262315 |
Real period |
R |
1.678513293769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000129702 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128478o1 |
Quadratic twists by: -7 |