Atkin-Lehner |
2+ 5- 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
18910a |
Isogeny class |
Conductor |
18910 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
136192 |
Modular degree for the optimal curve |
Δ |
-9681920000000 = -1 · 216 · 57 · 31 · 61 |
Discriminant |
Eigenvalues |
2+ -3 5- 5 0 5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18979,-1012715] |
[a1,a2,a3,a4,a6] |
Generators |
[646:15677:1] |
Generators of the group modulo torsion |
j |
-756060520765733001/9681920000000 |
j-invariant |
L |
3.0020539990656 |
L(r)(E,1)/r! |
Ω |
0.20322125985213 |
Real period |
R |
1.0551673021844 |
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 |
94550n1 |
Quadratic twists by: 5 |