Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69938h |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
768768 |
Modular degree for the optimal curve |
Δ |
-8627365333835776 = -1 · 213 · 118 · 173 |
Discriminant |
Eigenvalues |
2+ -2 1 5 11- 6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,36297,3592730] |
[a1,a2,a3,a4,a6] |
j |
5021863/8192 |
j-invariant |
L |
1.6904129231971 |
L(r)(E,1)/r! |
Ω |
0.28173548521087 |
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 |
69938r1 69938f1 |
Quadratic twists by: -11 17 |