Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504bv |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4.4383478549371E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- 13- 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14272232,-20723718288] |
[a1,a2,a3,a4,a6] |
j |
44308125149913793/61165323648 |
j-invariant |
L |
3.7286688895117 |
L(r)(E,1)/r! |
Ω |
0.077680601695217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9438o2 6864k2 |
Quadratic twists by: -4 -11 |