Atkin-Lehner |
3+ 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905n |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-1276765875 = -1 · 33 · 53 · 7 · 11 · 173 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 11+ -4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,228,1095] |
[a1,a2,a3,a4,a6] |
j |
48547233792/47287625 |
j-invariant |
L |
2.0116393822747 |
L(r)(E,1)/r! |
Ω |
1.0058196928456 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
58905d2 |
Quadratic twists by: -3 |