Atkin-Lehner |
2- 3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850bv |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1038916209375000 = -1 · 23 · 33 · 58 · 114 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,19662,1139031] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:857:1] |
Generators of the group modulo torsion |
j |
53800384675751/66490637400 |
j-invariant |
L |
9.045568714568 |
L(r)(E,1)/r! |
Ω |
0.32991168027815 |
Real period |
R |
2.2848460298405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9570g2 |
Quadratic twists by: 5 |