Atkin-Lehner |
2+ 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79800c |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
24239250000 = 24 · 36 · 56 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-883,-6488] |
[a1,a2,a3,a4,a6] |
j |
304900096/96957 |
j-invariant |
L |
1.795411406776 |
L(r)(E,1)/r! |
Ω |
0.89770569045973 |
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 |
3192o1 |
Quadratic twists by: 5 |