Atkin-Lehner |
2+ 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119646o |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-165123564724584 = -1 · 23 · 37 · 177 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -1 4 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10350,-469476] |
[a1,a2,a3,a4,a6] |
j |
6967871/9384 |
j-invariant |
L |
2.4456167902551 |
L(r)(E,1)/r! |
Ω |
0.30570231417983 |
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 |
39882bs1 7038c1 |
Quadratic twists by: -3 17 |