Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504a |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
70749060096 = 210 · 3 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100712,-12268320] |
[a1,a2,a3,a4,a6] |
j |
62275269892/39 |
j-invariant |
L |
1.071985462566 |
L(r)(E,1)/r! |
Ω |
0.26799636687904 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37752i4 624c3 |
Quadratic twists by: -4 -11 |