Atkin-Lehner |
2- 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240be |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
24822374400 = 213 · 33 · 52 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12867,-561726] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:2:1] |
Generators of the group modulo torsion |
j |
2130256518363/224450 |
j-invariant |
L |
7.0142788836372 |
L(r)(E,1)/r! |
Ω |
0.44826308444643 |
Real period |
R |
1.9559604412584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6030c2 48240z2 |
Quadratic twists by: -4 -3 |