Atkin-Lehner |
2- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
85400u |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27936 |
Modular degree for the optimal curve |
Δ |
-8369200 = -1 · 24 · 52 · 73 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -6 6 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103,-462] |
[a1,a2,a3,a4,a6] |
j |
-305059840/20923 |
j-invariant |
L |
1.4915064425041 |
L(r)(E,1)/r! |
Ω |
0.74575321345103 |
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 |
85400m1 |
Quadratic twists by: 5 |