Atkin-Lehner |
2- 3+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
29904a |
Isogeny class |
Conductor |
29904 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
28615974912 = 213 · 32 · 72 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1328,-16320] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:42:1] [-16:24:1] |
Generators of the group modulo torsion |
j |
63282696625/6986322 |
j-invariant |
L |
7.1636301492648 |
L(r)(E,1)/r! |
Ω |
0.79647971953445 |
Real period |
R |
1.1242643681894 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3738d2 119616x2 89712u2 |
Quadratic twists by: -4 8 -3 |