Atkin-Lehner |
2+ 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800c |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-628098900000000000 = -1 · 211 · 3 · 511 · 115 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11+ 13- -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-198008,51096012] |
[a1,a2,a3,a4,a6] |
j |
-26830214120162/19628090625 |
j-invariant |
L |
0.53124324423204 |
L(r)(E,1)/r! |
Ω |
0.265621670036 |
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 |
17160w1 |
Quadratic twists by: 5 |