Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67518o |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
16406874 = 2 · 37 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 11- -1 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-171,-797] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:8:1] |
Generators of the group modulo torsion |
j |
6289657/186 |
j-invariant |
L |
2.7638687878551 |
L(r)(E,1)/r! |
Ω |
1.3222603460695 |
Real period |
R |
0.52256516566543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22506z1 67518bu1 |
Quadratic twists by: -3 -11 |