Atkin-Lehner |
2- 3+ 23+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
58512h |
Isogeny class |
Conductor |
58512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-123232945176576 = -1 · 218 · 36 · 233 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 6 5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12008,165616] |
[a1,a2,a3,a4,a6] |
j |
46745481144167/30086168256 |
j-invariant |
L |
2.9334978019307 |
L(r)(E,1)/r! |
Ω |
0.36668722487224 |
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 |
7314c1 |
Quadratic twists by: -4 |