Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34476c |
Isogeny class |
Conductor |
34476 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
154197150496738128 = 24 · 312 · 137 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 2 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-170577,19508202] |
[a1,a2,a3,a4,a6] |
j |
7107347955712/1996623837 |
j-invariant |
L |
1.8136011703748 |
L(r)(E,1)/r! |
Ω |
0.30226686172899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103428v1 2652a1 |
Quadratic twists by: -3 13 |