Atkin-Lehner |
2+ 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
96278c |
Isogeny class |
Conductor |
96278 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1697080 |
Modular degree for the optimal curve |
Δ |
-49248361643691392 = -1 · 27 · 7 · 135 · 236 |
Discriminant |
Eigenvalues |
2+ 3 0 7+ 5 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11737,-10685395] |
[a1,a2,a3,a4,a6] |
j |
-1207949625/332678528 |
j-invariant |
L |
3.9900428614423 |
L(r)(E,1)/r! |
Ω |
0.15960171992622 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
182e1 |
Quadratic twists by: -23 |