Atkin-Lehner |
3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12075i |
Isogeny class |
Conductor |
12075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
541447037578125 = 316 · 57 · 7 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-110750,-14188125] |
[a1,a2,a3,a4,a6] |
Generators |
[-1166490:1215145:5832] |
Generators of the group modulo torsion |
j |
9614816895690721/34652610405 |
j-invariant |
L |
4.6006509901413 |
L(r)(E,1)/r! |
Ω |
0.26176238522916 |
Real period |
R |
8.7878382260951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36225bo4 2415h3 84525cj4 |
Quadratic twists by: -3 5 -7 |