Atkin-Lehner |
2+ 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
2814a |
Isogeny class |
Conductor |
2814 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1367861109552 = 24 · 312 · 74 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6462,191296] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:327:1] |
Generators of the group modulo torsion |
j |
29835131673951577/1367861109552 |
j-invariant |
L |
2.6466452425275 |
L(r)(E,1)/r! |
Ω |
0.84607725898096 |
Real period |
R |
0.52135610044943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22512n3 90048p3 8442c3 70350ce3 |
Quadratic twists by: -4 8 -3 5 |