Atkin-Lehner |
3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20181a |
Isogeny class |
Conductor |
20181 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
223200 |
Modular degree for the optimal curve |
Δ |
-497613305557689363 = -1 · 35 · 74 · 318 |
Discriminant |
Eigenvalues |
0 3+ -2 7+ 4 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,19861,33915674] |
[a1,a2,a3,a4,a6] |
Generators |
[2892:164798:27] |
Generators of the group modulo torsion |
j |
1015808/583443 |
j-invariant |
L |
2.6736938502646 |
L(r)(E,1)/r! |
Ω |
0.22924222502242 |
Real period |
R |
1.9438637086479 |
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 |
60543c1 20181j1 |
Quadratic twists by: -3 -31 |