Atkin-Lehner |
2- 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69300d |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
13261421250000 = 24 · 39 · 57 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10800,-394875] |
[a1,a2,a3,a4,a6] |
j |
28311552/2695 |
j-invariant |
L |
0.94236405212565 |
L(r)(E,1)/r! |
Ω |
0.47118202829853 |
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 |
69300h1 13860g1 |
Quadratic twists by: -3 5 |