Atkin-Lehner |
2+ 3- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640o |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
135365126400 = 28 · 34 · 52 · 72 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1356,-7956] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:60:1] |
Generators of the group modulo torsion |
j |
1077911368144/528770025 |
j-invariant |
L |
9.1822375883103 |
L(r)(E,1)/r! |
Ω |
0.82691361824326 |
Real period |
R |
2.7760570555888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005572 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61320b2 |
Quadratic twists by: -4 |