Atkin-Lehner |
3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55545a |
Isogeny class |
Conductor |
55545 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
4048461146205 = 310 · 5 · 72 · 234 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 3 -6 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-18691,985032] |
[a1,a2,a3,a4,a6] |
Generators |
[70:121:1] |
Generators of the group modulo torsion |
j |
2580674412544/14467005 |
j-invariant |
L |
3.8306212396891 |
L(r)(E,1)/r! |
Ω |
0.78576536361104 |
Real period |
R |
1.218754801715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55545d1 |
Quadratic twists by: -23 |