Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54150bp |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
Δ |
-251875994841907200 = -1 · 233 · 32 · 52 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5227,24148091] |
[a1,a2,a3,a4,a6] |
Generators |
[231:6028:1] [-249:2860:1] |
Generators of the group modulo torsion |
j |
4847542295/77309411328 |
j-invariant |
L |
11.589724720815 |
L(r)(E,1)/r! |
Ω |
0.2458421268518 |
Real period |
R |
0.2380957404902 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54150be2 54150z2 |
Quadratic twists by: 5 -19 |