Atkin-Lehner |
2+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
23128d |
Isogeny class |
Conductor |
23128 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
191520 |
Modular degree for the optimal curve |
Δ |
-1055077456332671744 = -1 · 28 · 78 · 595 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ -2 4 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-196996,-59724748] |
[a1,a2,a3,a4,a6] |
j |
-572893447504/714924299 |
j-invariant |
L |
1.0820403665992 |
L(r)(E,1)/r! |
Ω |
0.10820403665992 |
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 |
46256b1 23128f1 |
Quadratic twists by: -4 -7 |