Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74529v |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-37671878311147899 = -1 · 36 · 77 · 137 |
Discriminant |
Eigenvalues |
0 3- 3 7- 0 13+ -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-546546,155800804] |
[a1,a2,a3,a4,a6] |
Generators |
[442:760:1] |
Generators of the group modulo torsion |
j |
-43614208/91 |
j-invariant |
L |
6.0377586568756 |
L(r)(E,1)/r! |
Ω |
0.36552665612005 |
Real period |
R |
1.0323731791637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8281d1 10647c1 5733f1 |
Quadratic twists by: -3 -7 13 |