Atkin-Lehner |
2+ 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518d |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-295323732 = -1 · 22 · 39 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,93,-775] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] |
Generators of the group modulo torsion |
j |
37125/124 |
j-invariant |
L |
3.6778619300923 |
L(r)(E,1)/r! |
Ω |
0.88197101568813 |
Real period |
R |
1.0425121305333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67518be1 67518bd1 |
Quadratic twists by: -3 -11 |