Atkin-Lehner |
2+ 5- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
55550i |
Isogeny class |
Conductor |
55550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-23210620928000 = -1 · 214 · 53 · 11 · 1013 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 11+ 3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-61312,-5832704] |
[a1,a2,a3,a4,a6] |
j |
-203917328422252173/185684967424 |
j-invariant |
L |
0.60676306055743 |
L(r)(E,1)/r! |
Ω |
0.15169076517106 |
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 |
55550u1 |
Quadratic twists by: 5 |