Atkin-Lehner |
3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18315q |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-135819854736328125 = -1 · 37 · 516 · 11 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14634,17748013] |
[a1,a2,a3,a4,a6] |
Generators |
[2766:57367:8] |
Generators of the group modulo torsion |
j |
-475446909951649/186309814453125 |
j-invariant |
L |
6.122808717732 |
L(r)(E,1)/r! |
Ω |
0.2662383469873 |
Real period |
R |
2.874683900261 |
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 |
6105b4 91575be3 |
Quadratic twists by: -3 5 |