Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550jj |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-16059088500000 = -1 · 25 · 3 · 56 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 13+ 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9213,390417] |
[a1,a2,a3,a4,a6] |
j |
-47045881/8736 |
j-invariant |
L |
6.6921474781615 |
L(r)(E,1)/r! |
Ω |
0.6692147535358 |
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 |
3822h1 13650by1 |
Quadratic twists by: 5 -7 |