Atkin-Lehner |
2+ 3- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640m |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
99072 |
Modular degree for the optimal curve |
Δ |
-51497026560 = -1 · 210 · 39 · 5 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 0 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,104,-10876] |
[a1,a2,a3,a4,a6] |
Generators |
[32:162:1] |
Generators of the group modulo torsion |
j |
120320924/50290065 |
j-invariant |
L |
7.0030431648818 |
L(r)(E,1)/r! |
Ω |
0.52677496894565 |
Real period |
R |
0.73856575780515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999864393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61320a1 |
Quadratic twists by: -4 |