Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
101400n |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2156544 |
Modular degree for the optimal curve |
Δ |
7635239548560000000 = 210 · 32 · 57 · 139 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -6 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-677408,168682812] |
[a1,a2,a3,a4,a6] |
j |
202612/45 |
j-invariant |
L |
1.7686774408301 |
L(r)(E,1)/r! |
Ω |
0.22108467504171 |
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 |
20280z1 101400ch1 |
Quadratic twists by: 5 13 |