Atkin-Lehner |
3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
58089i |
Isogeny class |
Conductor |
58089 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-2009314572896391219 = -1 · 35 · 177 · 674 |
Discriminant |
Eigenvalues |
0 3- 3 4 -3 -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1970209,1065954790] |
[a1,a2,a3,a4,a6] |
Generators |
[5290:58085:8] |
Generators of the group modulo torsion |
j |
-35040258397831168/83244280851 |
j-invariant |
L |
8.9976450072019 |
L(r)(E,1)/r! |
Ω |
0.26264334624876 |
Real period |
R |
0.85645088059431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3417d1 |
Quadratic twists by: 17 |