Atkin-Lehner |
2- 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71568bt |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-8412549744033792 = -1 · 217 · 317 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29235,4814066] |
[a1,a2,a3,a4,a6] |
j |
-925434168625/2817345888 |
j-invariant |
L |
2.9086963788304 |
L(r)(E,1)/r! |
Ω |
0.3635870508378 |
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 |
8946e1 23856u1 |
Quadratic twists by: -4 -3 |