Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69192p |
Isogeny class |
Conductor |
69192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
44477724672 = 211 · 36 · 313 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -6 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11811,-493954] |
[a1,a2,a3,a4,a6] |
Generators |
[134:574:1] |
Generators of the group modulo torsion |
j |
4096766 |
j-invariant |
L |
2.418934567186 |
L(r)(E,1)/r! |
Ω |
0.45796706739763 |
Real period |
R |
5.2818963186525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7688m2 69192o2 |
Quadratic twists by: -3 -31 |