Atkin-Lehner |
2+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18050k |
Isogeny class |
Conductor |
18050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
91260 |
Modular degree for the optimal curve |
Δ |
-417027200000000 = -1 · 213 · 58 · 194 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 0 -6 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-49825,-4412875] |
[a1,a2,a3,a4,a6] |
j |
-268722985/8192 |
j-invariant |
L |
0.47846302843323 |
L(r)(E,1)/r! |
Ω |
0.15948767614441 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18050m1 18050x1 |
Quadratic twists by: 5 -19 |