Atkin-Lehner |
2- 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69696dv |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3433833824256 = 217 · 39 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51084,-4443120] |
[a1,a2,a3,a4,a6] |
j |
4293378 |
j-invariant |
L |
2.5405303442803 |
L(r)(E,1)/r! |
Ω |
0.31756629395368 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696a2 17424d2 69696dx2 69696du2 |
Quadratic twists by: -4 8 -3 -11 |