Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800o |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-1930788925920000 = -1 · 28 · 315 · 54 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 2 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24367,1517037] |
[a1,a2,a3,a4,a6] |
j |
9999818009600/12067430787 |
j-invariant |
L |
1.8765114510607 |
L(r)(E,1)/r! |
Ω |
0.31275190851192 |
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 |
17400r1 104400cj1 34800bb1 |
Quadratic twists by: -4 -3 5 |