Atkin-Lehner |
3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18315q |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
19992404458125 = 310 · 54 · 114 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1110204,450526135] |
[a1,a2,a3,a4,a6] |
Generators |
[386:8717:1] |
Generators of the group modulo torsion |
j |
207589205652048427969/27424423125 |
j-invariant |
L |
6.122808717732 |
L(r)(E,1)/r! |
Ω |
0.5324766939746 |
Real period |
R |
0.71867097506526 |
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 |
6105b3 91575be4 |
Quadratic twists by: -3 5 |