Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408bi |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
Δ |
-4999796928 = -1 · 26 · 313 · 72 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3649,83705] |
[a1,a2,a3,a4,a6] |
Generators |
[32:27:1] |
Generators of the group modulo torsion |
j |
-1713910976512/1594323 |
j-invariant |
L |
4.7926053551482 |
L(r)(E,1)/r! |
Ω |
1.3576830235789 |
Real period |
R |
0.27153757098929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9408cc2 147c2 28224bx2 9408c2 |
Quadratic twists by: -4 8 -3 -7 |