Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
49104w |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-14095532393116416 = -1 · 28 · 316 · 113 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,41289,4711750] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:1364:1] [-19:1980:1] |
Generators of the group modulo torsion |
j |
41711836575152/75529044459 |
j-invariant |
L |
7.7574784321101 |
L(r)(E,1)/r! |
Ω |
0.27211541261869 |
Real period |
R |
2.3756704178866 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24552m2 16368k2 |
Quadratic twists by: -4 -3 |