Atkin-Lehner |
2+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15080b |
Isogeny class |
Conductor |
15080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5300921600 = 28 · 52 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 0 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-436,-336] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:28:1] [-8:52:1] |
Generators of the group modulo torsion |
j |
35887146064/20706725 |
j-invariant |
L |
4.4077487603179 |
L(r)(E,1)/r! |
Ω |
1.1394113441141 |
Real period |
R |
0.96711095231023 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30160b2 120640bf2 75400l2 |
Quadratic twists by: -4 8 5 |