Atkin-Lehner |
3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36975a |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-2558597783203125 = -1 · 312 · 510 · 17 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5+ -3 -4 -3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35150,-3529875] |
[a1,a2,a3,a4,a6] |
Generators |
[15020:1833215:1] |
Generators of the group modulo torsion |
j |
-307396543251169/163750258125 |
j-invariant |
L |
3.2109874535582 |
L(r)(E,1)/r! |
Ω |
0.17009125726275 |
Real period |
R |
4.7195069065143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110925bl1 7395h1 |
Quadratic twists by: -3 5 |