Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
28830q |
Isogeny class |
Conductor |
28830 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-1167615000 = -1 · 23 · 35 · 54 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 3 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-129,-1748] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-126:1] |
Generators of the group modulo torsion |
j |
-244298569/1215000 |
j-invariant |
L |
3.9739919666475 |
L(r)(E,1)/r! |
Ω |
0.6402201519529 |
Real period |
R |
0.62072272397633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86490cv1 28830b1 |
Quadratic twists by: -3 -31 |