Atkin-Lehner |
2+ 3- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71994v |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
687456 |
Modular degree for the optimal curve |
Δ |
695726719893504 = 231 · 33 · 132 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 2 13+ 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1032633,403805404] |
[a1,a2,a3,a4,a6] |
Generators |
[494:3534:1] |
Generators of the group modulo torsion |
j |
720567055471385012449/4116726153216 |
j-invariant |
L |
6.4768637080039 |
L(r)(E,1)/r! |
Ω |
0.45241888694619 |
Real period |
R |
4.772025730822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71994bq1 |
Quadratic twists by: 13 |