Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400br |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-138931200000000000 = -1 · 219 · 34 · 511 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 1 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32008,-18057488] |
[a1,a2,a3,a4,a6] |
j |
-56667352321/2170800000 |
j-invariant |
L |
2.2866581757567 |
L(r)(E,1)/r! |
Ω |
0.1429161340148 |
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 |
10050k1 16080z1 |
Quadratic twists by: -4 5 |