Atkin-Lehner |
2- 3+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71994bh |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-176183152583022 = -1 · 2 · 32 · 1310 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 1 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-86278,-9811183] |
[a1,a2,a3,a4,a6] |
Generators |
[25991649985714212910540:1835431813315893425594481:5122854532418628032] |
Generators of the group modulo torsion |
j |
-515217625/1278 |
j-invariant |
L |
10.23169630489 |
L(r)(E,1)/r! |
Ω |
0.13926115107716 |
Real period |
R |
36.735644599194 |
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 |
71994c1 |
Quadratic twists by: 13 |