Atkin-Lehner |
2- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
51136l |
Isogeny class |
Conductor |
51136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
153817088 = 212 · 17 · 472 |
Discriminant |
Eigenvalues |
2- -2 0 2 -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153,-473] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:16:1] |
Generators of the group modulo torsion |
j |
97336000/37553 |
j-invariant |
L |
4.3003465531804 |
L(r)(E,1)/r! |
Ω |
1.4018161050037 |
Real period |
R |
1.5338483192676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51136p2 25568e1 |
Quadratic twists by: -4 8 |