Atkin-Lehner |
2- 3+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
95316b |
Isogeny class |
Conductor |
95316 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1639872 |
Modular degree for the optimal curve |
Δ |
-336286960537671936 = -1 · 28 · 36 · 138 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 4 13+ 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1494692,-703411944] |
[a1,a2,a3,a4,a6] |
j |
-1768448223568/1610361 |
j-invariant |
L |
1.0922646735246 |
L(r)(E,1)/r! |
Ω |
0.068266540140857 |
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 |
95316e1 |
Quadratic twists by: 13 |