Atkin-Lehner |
2+ 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
2814a |
Isogeny class |
Conductor |
2814 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-829882368 = -1 · 216 · 33 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,178,-1024] |
[a1,a2,a3,a4,a6] |
Generators |
[6:13:1] |
Generators of the group modulo torsion |
j |
628762020263/829882368 |
j-invariant |
L |
2.6466452425275 |
L(r)(E,1)/r! |
Ω |
0.84607725898096 |
Real period |
R |
2.0854244017977 |
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 |
22512n1 90048p1 8442c1 70350ce1 |
Quadratic twists by: -4 8 -3 5 |