Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
76050cb |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5910852877312500 = 22 · 316 · 56 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47592,1524316] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:1568:1] |
Generators of the group modulo torsion |
j |
476379541/236196 |
j-invariant |
L |
5.4565316427608 |
L(r)(E,1)/r! |
Ω |
0.377584938874 |
Real period |
R |
1.8063921121361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001491 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25350cc2 3042n2 76050fi2 |
Quadratic twists by: -3 5 13 |