Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3696u |
Isogeny class |
Conductor |
3696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
17525071872 = 213 · 34 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2024,-35148] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:24:1] |
Generators of the group modulo torsion |
j |
223980311017/4278582 |
j-invariant |
L |
3.6593547853021 |
L(r)(E,1)/r! |
Ω |
0.71257887835967 |
Real period |
R |
0.64192100278881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
462c4 14784bu3 11088bm4 92400ed3 |
Quadratic twists by: -4 8 -3 5 |