Atkin-Lehner |
2+ 3+ 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478v |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37376 |
Modular degree for the optimal curve |
Δ |
1798692 = 22 · 3 · 73 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-186,-1056] |
[a1,a2,a3,a4,a6] |
Generators |
[17:24:1] |
Generators of the group modulo torsion |
j |
2092240639/5244 |
j-invariant |
L |
4.1742929351161 |
L(r)(E,1)/r! |
Ω |
1.2920613421857 |
Real period |
R |
3.2307234827643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037719 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128478bi1 |
Quadratic twists by: -7 |