Atkin-Lehner |
2+ 5+ 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
97520a |
Isogeny class |
Conductor |
97520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
670208 |
Modular degree for the optimal curve |
Δ |
-3825661872249200 = -1 · 24 · 52 · 237 · 532 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 -2 1 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-147976,-22160201] |
[a1,a2,a3,a4,a6] |
j |
-22396518591041046784/239103867015575 |
j-invariant |
L |
1.9460999875268 |
L(r)(E,1)/r! |
Ω |
0.12163124848057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48760a1 |
Quadratic twists by: -4 |