Atkin-Lehner |
2- 3- 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130bp |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-2225819250 = -1 · 2 · 38 · 53 · 23 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -1 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4253,107831] |
[a1,a2,a3,a4,a6] |
j |
-11667736047241/3053250 |
j-invariant |
L |
2.8521388584109 |
L(r)(E,1)/r! |
Ω |
1.426070317213 |
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 |
40710l1 |
Quadratic twists by: -3 |