Atkin-Lehner |
2+ 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
34450h |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
420532226562500 = 22 · 516 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 6 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52442,-4502784] |
[a1,a2,a3,a4,a6] |
j |
1020812743382769/26914062500 |
j-invariant |
L |
2.527947924318 |
L(r)(E,1)/r! |
Ω |
0.31599349054097 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890j1 |
Quadratic twists by: 5 |