Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696eh |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
276511185615126528 = 216 · 39 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-326700,67274064] |
[a1,a2,a3,a4,a6] |
Generators |
[418:1936:1] |
Generators of the group modulo torsion |
j |
1687500/121 |
j-invariant |
L |
4.549212335436 |
L(r)(E,1)/r! |
Ω |
0.3028802975675 |
Real period |
R |
1.8774794744023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000803 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696j2 17424f2 69696eg2 6336bh2 |
Quadratic twists by: -4 8 -3 -11 |