Atkin-Lehner |
2+ 3+ 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590i |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
534135409933500000 = 25 · 33 · 56 · 196 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1554504,745554528] |
[a1,a2,a3,a4,a6] |
Generators |
[-1311:23655:1] |
Generators of the group modulo torsion |
j |
15386351045076135524763/19782792960500000 |
j-invariant |
L |
5.4075140331333 |
L(r)(E,1)/r! |
Ω |
0.2918892473868 |
Real period |
R |
4.6314775908411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
49590bb4 |
Quadratic twists by: -3 |