Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
966g |
Isogeny class |
Conductor |
966 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
19093020912 = 24 · 32 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17714,900047] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:991:1] |
Generators of the group modulo torsion |
j |
614716917569296417/19093020912 |
j-invariant |
L |
2.7656988558768 |
L(r)(E,1)/r! |
Ω |
1.1385943933317 |
Real period |
R |
2.4290466140307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
7728r3 30912y4 2898i3 24150bc4 |
Quadratic twists by: -4 8 -3 5 |