Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74529y |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-130450270041 = -1 · 38 · 76 · 132 |
Discriminant |
Eigenvalues |
1 3- 1 7- -2 13+ -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4419,115506] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:468:1] |
Generators of the group modulo torsion |
j |
-658489/9 |
j-invariant |
L |
6.5387790866252 |
L(r)(E,1)/r! |
Ω |
1.0438985098392 |
Real period |
R |
1.5659518198927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24843r1 1521c1 74529bb1 |
Quadratic twists by: -3 -7 13 |