Atkin-Lehner |
2- 3+ 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478cb |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-41513313893184 = -1 · 26 · 313 · 72 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -6 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19286,-1084525] |
[a1,a2,a3,a4,a6] |
j |
-16190323510432561/847210487616 |
j-invariant |
L |
2.4233693715284 |
L(r)(E,1)/r! |
Ω |
0.20194745851535 |
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 |
128478cf1 |
Quadratic twists by: -7 |