Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7980d |
Isogeny class |
Conductor |
7980 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
421149561235200 = 28 · 312 · 52 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41116,3039620] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:2430:1] |
Generators of the group modulo torsion |
j |
30028032801240784/1645115473575 |
j-invariant |
L |
4.7744620159731 |
L(r)(E,1)/r! |
Ω |
0.52309703837924 |
Real period |
R |
0.76060808124089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
31920r2 127680bi2 23940t2 39900c2 |
Quadratic twists by: -4 8 -3 5 |