Atkin-Lehner |
3- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
36975y |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-72216796875 = -1 · 3 · 511 · 17 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 -4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-89383,-10315481] |
[a1,a2,a3,a4,a6] |
Generators |
[28873:4905937:1] |
Generators of the group modulo torsion |
j |
-5054443262672896/4621875 |
j-invariant |
L |
3.6752719146629 |
L(r)(E,1)/r! |
Ω |
0.13805603574525 |
Real period |
R |
6.6553988292191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110925x1 7395d1 |
Quadratic twists by: -3 5 |