Atkin-Lehner |
5+ 31- 67- |
Signs for the Atkin-Lehner involutions |
Class |
10385b |
Isogeny class |
Conductor |
10385 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
233091325 = 52 · 31 · 673 |
Discriminant |
Eigenvalues |
2 -1 5+ -2 4 -3 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-466,3961] |
[a1,a2,a3,a4,a6] |
Generators |
[154:331:8] |
Generators of the group modulo torsion |
j |
11215356719104/233091325 |
j-invariant |
L |
6.400835929651 |
L(r)(E,1)/r! |
Ω |
1.7625294541257 |
Real period |
R |
0.60526987834331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93465i1 51925d1 |
Quadratic twists by: -3 5 |