Atkin-Lehner |
2- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
71672f |
Isogeny class |
Conductor |
71672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3068928 |
Modular degree for the optimal curve |
Δ |
-288980629665961456 = -1 · 24 · 1712 · 31 |
Discriminant |
Eigenvalues |
2- 0 -3 -3 4 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21036599,37137401391] |
[a1,a2,a3,a4,a6] |
j |
-2665856613954845952/748264639 |
j-invariant |
L |
0.98704253144769 |
L(r)(E,1)/r! |
Ω |
0.24676063088361 |
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 |
4216d1 |
Quadratic twists by: 17 |