Atkin-Lehner |
3+ 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36975r |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-16145775451125 = -1 · 312 · 53 · 172 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 -2 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5505,-110250] |
[a1,a2,a3,a4,a6] |
Generators |
[1310:17615:8] |
Generators of the group modulo torsion |
j |
147557876321107/129166203609 |
j-invariant |
L |
6.4863932064725 |
L(r)(E,1)/r! |
Ω |
0.38326505316654 |
Real period |
R |
4.2310100757172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110925bu2 36975be2 |
Quadratic twists by: -3 5 |