Atkin-Lehner |
2+ 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15960k |
Isogeny class |
Conductor |
15960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
140121139200 = 211 · 3 · 52 · 7 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22520,1293168] |
[a1,a2,a3,a4,a6] |
j |
616762844958962/68418525 |
j-invariant |
L |
3.9732508376408 |
L(r)(E,1)/r! |
Ω |
0.99331270941019 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31920h4 127680s4 47880bh4 79800y4 |
Quadratic twists by: -4 8 -3 5 |