Atkin-Lehner |
3+ 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
36975k |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
255360 |
Modular degree for the optimal curve |
Δ |
-150790477294921875 = -1 · 3 · 513 · 175 · 29 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 0 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,77367,-16772332] |
[a1,a2,a3,a4,a6] |
Generators |
[5882:451562:1] |
Generators of the group modulo torsion |
j |
3277670884573184/9650590546875 |
j-invariant |
L |
2.9352503894166 |
L(r)(E,1)/r! |
Ω |
0.16668560794586 |
Real period |
R |
0.88047505288201 |
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 |
110925m1 7395i1 |
Quadratic twists by: -3 5 |