Atkin-Lehner |
3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
20181j |
Isogeny class |
Conductor |
20181 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-560688723 = -1 · 35 · 74 · 312 |
Discriminant |
Eigenvalues |
0 3- -2 7+ -4 -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,21,-1132] |
[a1,a2,a3,a4,a6] |
Generators |
[18:73:1] |
Generators of the group modulo torsion |
j |
1015808/583443 |
j-invariant |
L |
3.2039116301731 |
L(r)(E,1)/r! |
Ω |
0.76610359291095 |
Real period |
R |
0.41820866783815 |
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 |
60543e1 20181a1 |
Quadratic twists by: -3 -31 |