Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504i |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4298005400832 = 28 · 36 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -4 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7300,220816] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:484:1] |
Generators of the group modulo torsion |
j |
94875856/9477 |
j-invariant |
L |
2.778943787813 |
L(r)(E,1)/r! |
Ω |
0.75549312325694 |
Real period |
R |
1.8391588898031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37752l2 624b2 |
Quadratic twists by: -4 -11 |