Atkin-Lehner |
3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
53655u |
Isogeny class |
Conductor |
53655 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-3380265 = -1 · 33 · 5 · 73 · 73 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 2 -6 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15,90] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:12:1] |
Generators of the group modulo torsion |
j |
-1092727/9855 |
j-invariant |
L |
4.7502075862105 |
L(r)(E,1)/r! |
Ω |
2.1448231745317 |
Real period |
R |
0.36912192751173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53655f1 |
Quadratic twists by: -7 |