Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
714c |
Isogeny class |
Conductor |
714 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2040 |
Modular degree for the optimal curve |
Δ |
-1011143540736 = -1 · 217 · 33 · 75 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 5 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14597,-686643] |
[a1,a2,a3,a4,a6] |
j |
-344002044213921241/1011143540736 |
j-invariant |
L |
1.0856587496694 |
L(r)(E,1)/r! |
Ω |
0.21713174993388 |
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 |
5712q1 22848bg1 2142s1 17850bt1 |
Quadratic twists by: -4 8 -3 5 |