Atkin-Lehner |
2+ 3+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71994j |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1946880 |
Modular degree for the optimal curve |
Δ |
6494815736820523008 = 213 · 34 · 1310 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 0 3 2 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-871705,287901541] |
[a1,a2,a3,a4,a6] |
j |
531373116625/47112192 |
j-invariant |
L |
1.8527245443614 |
L(r)(E,1)/r! |
Ω |
0.23159056310078 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71994x1 |
Quadratic twists by: 13 |