Atkin-Lehner |
5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
19975i |
Isogeny class |
Conductor |
19975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33840 |
Modular degree for the optimal curve |
Δ |
-14669140625 = -1 · 58 · 17 · 472 |
Discriminant |
Eigenvalues |
1 1 5- 3 0 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-47076,3927423] |
[a1,a2,a3,a4,a6] |
Generators |
[141:242:1] |
Generators of the group modulo torsion |
j |
-29535823112665/37553 |
j-invariant |
L |
7.9941560208081 |
L(r)(E,1)/r! |
Ω |
1.0566153694696 |
Real period |
R |
3.7829073150908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19975g1 |
Quadratic twists by: 5 |