Atkin-Lehner |
2+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119600i |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-4401280000 = -1 · 210 · 54 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5- -1 -1 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32075,2211050] |
[a1,a2,a3,a4,a6] |
Generators |
[91:214:1] [106:46:1] |
Generators of the group modulo torsion |
j |
-5702216904900/6877 |
j-invariant |
L |
11.10317605657 |
L(r)(E,1)/r! |
Ω |
1.1659839159597 |
Real period |
R |
2.3806452013097 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59800k1 119600c1 |
Quadratic twists by: -4 5 |