Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38532l |
Isogeny class |
Conductor |
38532 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-2108606016481346304 = -1 · 28 · 312 · 138 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -3 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-668789,221581959] |
[a1,a2,a3,a4,a6] |
Generators |
[1330:41067:1] |
Generators of the group modulo torsion |
j |
-26772667629568/1706457051 |
j-invariant |
L |
8.9880442758204 |
L(r)(E,1)/r! |
Ω |
0.25695345999084 |
Real period |
R |
1.4574695543665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115596q1 2964f1 |
Quadratic twists by: -3 13 |