Atkin-Lehner |
2+ 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770u |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-988392723374925000 = -1 · 23 · 36 · 55 · 119 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11+ 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11979,-47832147] |
[a1,a2,a3,a4,a6] |
j |
-260782396264369/1355819922325000 |
j-invariant |
L |
1.2628297314271 |
L(r)(E,1)/r! |
Ω |
0.1262829731427 |
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 |
2530i1 113850dv1 |
Quadratic twists by: -3 5 |