Atkin-Lehner |
2- 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
109330ba |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
15465406346000 = 24 · 53 · 13 · 296 |
Discriminant |
Eigenvalues |
2- 2 5- -4 6 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27350,1719235] |
[a1,a2,a3,a4,a6] |
j |
3803721481/26000 |
j-invariant |
L |
8.4325635681098 |
L(r)(E,1)/r! |
Ω |
0.70271368377679 |
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 |
130a1 |
Quadratic twists by: 29 |