Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13552m |
Isogeny class |
Conductor |
13552 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
333167671495622656 = 218 · 72 · 1110 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-626659,-188908830] |
[a1,a2,a3,a4,a6] |
Generators |
[-48303310186791:-93216960661440:99445904137] |
Generators of the group modulo torsion |
j |
3750606459153/45914176 |
j-invariant |
L |
4.9179346923022 |
L(r)(E,1)/r! |
Ω |
0.16980998680027 |
Real period |
R |
14.480699236161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1694d2 54208bw2 121968eh2 94864bz2 |
Quadratic twists by: -4 8 -3 -7 |