Atkin-Lehner |
2+ 3- 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39330f |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-4300735500000000 = -1 · 28 · 39 · 59 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -1 -7 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22320,-3400704] |
[a1,a2,a3,a4,a6] |
j |
-1686901403185921/5899500000000 |
j-invariant |
L |
0.71724554536282 |
L(r)(E,1)/r! |
Ω |
0.17931138633215 |
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 |
13110bn1 |
Quadratic twists by: -3 |