Atkin-Lehner |
2+ 3- 13+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
102258j |
Isogeny class |
Conductor |
102258 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
39804559681536 = 211 · 36 · 132 · 193 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 -5 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24633,-1450643] |
[a1,a2,a3,a4,a6] |
j |
2267556001279633/54601590784 |
j-invariant |
L |
2.2898542750747 |
L(r)(E,1)/r! |
Ω |
0.38164242438478 |
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 |
11362i1 |
Quadratic twists by: -3 |