Atkin-Lehner |
2+ 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18040d |
Isogeny class |
Conductor |
18040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
31750400 = 28 · 52 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1660,-26592] |
[a1,a2,a3,a4,a6] |
j |
1977286530256/124025 |
j-invariant |
L |
1.4958304272238 |
L(r)(E,1)/r! |
Ω |
0.74791521361191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36080f1 90200n1 |
Quadratic twists by: -4 5 |