Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41650ch |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-312505156250000 = -1 · 24 · 510 · 76 · 17 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -4 3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9570,-772803] |
[a1,a2,a3,a4,a6] |
j |
84375/272 |
j-invariant |
L |
1.1118621357853 |
L(r)(E,1)/r! |
Ω |
0.27796553394159 |
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 |
41650ba1 850i1 |
Quadratic twists by: 5 -7 |