Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
6768g |
Isogeny class |
Conductor |
6768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
26313984 = 28 · 37 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -3 5 3 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84,-164] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:9:1] |
Generators of the group modulo torsion |
j |
351232/141 |
j-invariant |
L |
3.9364207785752 |
L(r)(E,1)/r! |
Ω |
1.6328081129084 |
Real period |
R |
1.2054143862513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3384c1 27072cq1 2256f1 |
Quadratic twists by: -4 8 -3 |