Atkin-Lehner |
3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
3045f |
Isogeny class |
Conductor |
3045 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
7646173817625 = 316 · 53 · 72 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5887,109504] |
[a1,a2,a3,a4,a6] |
j |
22569455565127801/7646173817625 |
j-invariant |
L |
2.0464626112743 |
L(r)(E,1)/r! |
Ω |
0.6821542037581 |
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 |
48720cq1 9135f1 15225r1 21315n1 |
Quadratic twists by: -4 -3 5 -7 |