Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69312bs |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
263613502291968 = 215 · 32 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2634337,1644838847] |
[a1,a2,a3,a4,a6] |
Generators |
[76868:938145:64] |
Generators of the group modulo torsion |
j |
1311494070536/171 |
j-invariant |
L |
7.2405739058533 |
L(r)(E,1)/r! |
Ω |
0.42927352848099 |
Real period |
R |
8.4335201507687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000803 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69312q4 34656j4 3648h3 |
Quadratic twists by: -4 8 -19 |