Atkin-Lehner |
2+ 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
49056b |
Isogeny class |
Conductor |
49056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4775681659392 = 29 · 36 · 74 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 6 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8968,312520] |
[a1,a2,a3,a4,a6] |
j |
155807721341000/9327503241 |
j-invariant |
L |
1.5168347652802 |
L(r)(E,1)/r! |
Ω |
0.75841738273996 |
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 |
49056i2 98112bx2 |
Quadratic twists by: -4 8 |