Atkin-Lehner |
5- 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67925p |
Isogeny class |
Conductor |
67925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-14176966375 = -1 · 53 · 11 · 134 · 192 |
Discriminant |
Eigenvalues |
-1 2 5- 4 11- 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,132,-5644] |
[a1,a2,a3,a4,a6] |
j |
2033901163/113415731 |
j-invariant |
L |
2.3940126837153 |
L(r)(E,1)/r! |
Ω |
0.59850316978446 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67925n1 |
Quadratic twists by: 5 |