Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720dq |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1058786928230400 = 222 · 312 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-932268,346461392] |
[a1,a2,a3,a4,a6] |
Generators |
[554:128:1] |
Generators of the group modulo torsion |
j |
468898230633769/5540400 |
j-invariant |
L |
5.7005397223548 |
L(r)(E,1)/r! |
Ω |
0.44636340620019 |
Real period |
R |
1.5963841466217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720bg2 13680bw2 18240ce2 |
Quadratic twists by: -4 8 -3 |