Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478ci |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1094400 |
Modular degree for the optimal curve |
Δ |
-558928652073797016 = -1 · 23 · 39 · 11 · 199 |
Discriminant |
Eigenvalues |
2- 3- 1 2 11- -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1968962,-1063533927] |
[a1,a2,a3,a4,a6] |
j |
-3588604291/2376 |
j-invariant |
L |
6.1173626729788 |
L(r)(E,1)/r! |
Ω |
0.063722528052852 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23826b1 71478t1 |
Quadratic twists by: -3 -19 |