Atkin-Lehner |
2- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90160bz |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
616896 |
Modular degree for the optimal curve |
Δ |
-26611428257792000 = -1 · 215 · 53 · 710 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 -5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-135256,20647444] |
[a1,a2,a3,a4,a6] |
j |
-236513641/23000 |
j-invariant |
L |
0.73342594508267 |
L(r)(E,1)/r! |
Ω |
0.36671295532108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11270c1 90160cj1 |
Quadratic twists by: -4 -7 |