Atkin-Lehner |
2- 3+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67938m |
Isogeny class |
Conductor |
67938 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-2944099426081476 = -1 · 22 · 3 · 138 · 673 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 -2 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-61435,6390509] |
[a1,a2,a3,a4,a6] |
j |
-5312655169849/609947364 |
j-invariant |
L |
1.7554840379884 |
L(r)(E,1)/r! |
Ω |
0.43887101070305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5226b1 |
Quadratic twists by: 13 |