Atkin-Lehner |
2- 3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
122892bj |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
5811757604781548112 = 24 · 312 · 77 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-915189,316093140] |
[a1,a2,a3,a4,a6] |
Generators |
[6666:-92169:8] [-957:17787:1] |
Generators of the group modulo torsion |
j |
45034810384580608/3087445284693 |
j-invariant |
L |
13.092951209826 |
L(r)(E,1)/r! |
Ω |
0.23523792532813 |
Real period |
R |
0.25767747615299 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999944386 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17556b1 |
Quadratic twists by: -7 |