Atkin-Lehner |
2- 7+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
35224c |
Isogeny class |
Conductor |
35224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
52580132864 = 211 · 74 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-456251,-118618890] |
[a1,a2,a3,a4,a6] |
Generators |
[5934181454655762:249310105709837185:2937724114248] |
Generators of the group modulo torsion |
j |
5128675812495787554/25673893 |
j-invariant |
L |
4.9462731121523 |
L(r)(E,1)/r! |
Ω |
0.18369553382773 |
Real period |
R |
26.926474526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70448f4 |
Quadratic twists by: -4 |