Atkin-Lehner |
2- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
47974h |
Isogeny class |
Conductor |
47974 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
815558 = 2 · 173 · 83 |
Discriminant |
Eigenvalues |
2- 2 4 -4 -2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15051,-716989] |
[a1,a2,a3,a4,a6] |
Generators |
[-9619142039730:4743464198257:135005697000] |
Generators of the group modulo torsion |
j |
76749369897473/166 |
j-invariant |
L |
14.755067489773 |
L(r)(E,1)/r! |
Ω |
0.43103056282679 |
Real period |
R |
17.116033945472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47974i2 |
Quadratic twists by: 17 |