Atkin-Lehner |
2+ 5+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
44650h |
Isogeny class |
Conductor |
44650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
141696 |
Modular degree for the optimal curve |
Δ |
30822453125000 = 23 · 59 · 19 · 473 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 -3 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23525,1353125] |
[a1,a2,a3,a4,a6] |
j |
92155535561809/1972637000 |
j-invariant |
L |
1.3190501830331 |
L(r)(E,1)/r! |
Ω |
0.65952509158532 |
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 |
8930l1 |
Quadratic twists by: 5 |