Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
48050w |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4017600 |
Modular degree for the optimal curve |
Δ |
6.4033459920375E+22 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 -2 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12025013,-10463431469] |
[a1,a2,a3,a4,a6] |
Generators |
[-45806240842876043233805325707:85922493905889248615618667606:48779453245556079958292837] |
Generators of the group modulo torsion |
j |
24025/8 |
j-invariant |
L |
11.736706879608 |
L(r)(E,1)/r! |
Ω |
0.083242559204817 |
Real period |
R |
46.998021972271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48050n1 48050r1 |
Quadratic twists by: 5 -31 |