Atkin-Lehner |
2+ 3- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39330x |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-101467080622080 = -1 · 218 · 311 · 5 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 3 -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4446,469908] |
[a1,a2,a3,a4,a6] |
j |
13330597374431/139186667520 |
j-invariant |
L |
1.7583783076494 |
L(r)(E,1)/r! |
Ω |
0.43959457691293 |
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 |
13110bk1 |
Quadratic twists by: -3 |