Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18850o |
Isogeny class |
Conductor |
18850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-57739906250 = -1 · 2 · 56 · 133 · 292 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9413,347781] |
[a1,a2,a3,a4,a6] |
j |
-5903244155017/3695354 |
j-invariant |
L |
2.2037543357058 |
L(r)(E,1)/r! |
Ω |
1.1018771678529 |
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 |
754a1 |
Quadratic twists by: 5 |