Atkin-Lehner |
2- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
34160be |
Isogeny class |
Conductor |
34160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
4372480000 = 214 · 54 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 1 0 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-840,-9100] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:10:1] |
Generators of the group modulo torsion |
j |
16022066761/1067500 |
j-invariant |
L |
7.3607155839164 |
L(r)(E,1)/r! |
Ω |
0.89043257960369 |
Real period |
R |
1.033306135765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4270b1 |
Quadratic twists by: -4 |