Atkin-Lehner |
2- 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116610cl |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
-307740532477657500 = -1 · 22 · 38 · 54 · 138 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-68026,27544256] |
[a1,a2,a3,a4,a6] |
j |
-7212549413161/63756517500 |
j-invariant |
L |
8.3843588347267 |
L(r)(E,1)/r! |
Ω |
0.26201120256413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8970g1 |
Quadratic twists by: 13 |