Atkin-Lehner |
2+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
18490a |
Isogeny class |
Conductor |
18490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1108800 |
Modular degree for the optimal curve |
Δ |
-2.7834225777357E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 5 -2 -5 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2616373,-1649661267] |
[a1,a2,a3,a4,a6] |
j |
-313337384670961/4403200000 |
j-invariant |
L |
2.1349325577891 |
L(r)(E,1)/r! |
Ω |
0.059303682160808 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92450bd1 430d1 |
Quadratic twists by: 5 -43 |