Atkin-Lehner |
3+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96807a |
Isogeny class |
Conductor |
96807 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2384640 |
Modular degree for the optimal curve |
Δ |
-3679446890263798827 = -1 · 32 · 239 · 613 |
Discriminant |
Eigenvalues |
-2 3+ 2 -1 -3 -5 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,320398,60263714] |
[a1,a2,a3,a4,a6] |
j |
2019487744/2042829 |
j-invariant |
L |
0.65725735661923 |
L(r)(E,1)/r! |
Ω |
0.16431430375206 |
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 |
96807b1 |
Quadratic twists by: -23 |