Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74529t |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-11438067175687971 = -1 · 312 · 73 · 137 |
Discriminant |
Eigenvalues |
0 3- 1 7- -2 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,7098,-5140431] |
[a1,a2,a3,a4,a6] |
Generators |
[273:4140:1] |
Generators of the group modulo torsion |
j |
32768/9477 |
j-invariant |
L |
5.450385680454 |
L(r)(E,1)/r! |
Ω |
0.18935569995725 |
Real period |
R |
1.7989904984838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991642 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24843p1 74529u1 5733e1 |
Quadratic twists by: -3 -7 13 |