Atkin-Lehner |
2- 3+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
29328m |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-16817292730368 = -1 · 213 · 32 · 133 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -6 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6272,46720] |
[a1,a2,a3,a4,a6] |
Generators |
[88:1128:1] [8:312:1] |
Generators of the group modulo torsion |
j |
6660589493375/4105784358 |
j-invariant |
L |
6.736045510453 |
L(r)(E,1)/r! |
Ω |
0.42858243214422 |
Real period |
R |
0.21829216652001 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3666n2 117312cu2 87984bl2 |
Quadratic twists by: -4 8 -3 |