Atkin-Lehner |
2+ 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870a |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-1125867600000 = -1 · 27 · 39 · 55 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 11+ 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11895,-498979] |
[a1,a2,a3,a4,a6] |
j |
-9456845543523/57200000 |
j-invariant |
L |
0.45698265981966 |
L(r)(E,1)/r! |
Ω |
0.22849132990983 |
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 |
102960ch1 12870bl1 64350cr1 |
Quadratic twists by: -4 -3 5 |