Atkin-Lehner |
2+ 7- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
69874d |
Isogeny class |
Conductor |
69874 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3100623594504002 = 2 · 78 · 234 · 312 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -2 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117707,15340443] |
[a1,a2,a3,a4,a6] |
Generators |
[93:2232:1] |
Generators of the group modulo torsion |
j |
1533007996997625/26354865698 |
j-invariant |
L |
3.2761204912175 |
L(r)(E,1)/r! |
Ω |
0.44999674428784 |
Real period |
R |
1.8200801074325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001425 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9982a2 |
Quadratic twists by: -7 |