Atkin-Lehner |
3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18315t |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
11708351746856325 = 310 · 52 · 118 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-69107,4685406] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:3384:1] |
Generators of the group modulo torsion |
j |
50067558384364009/16060839158925 |
j-invariant |
L |
3.1575100385694 |
L(r)(E,1)/r! |
Ω |
0.37161536063026 |
Real period |
R |
0.53104472612729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6105a3 91575ba3 |
Quadratic twists by: -3 5 |