Atkin-Lehner |
3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18315o |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-11015098875 = -1 · 39 · 53 · 112 · 37 |
Discriminant |
Eigenvalues |
-2 3- 5- -4 11- -3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1857,31212] |
[a1,a2,a3,a4,a6] |
Generators |
[167:-2093:1] [-28:247:1] |
Generators of the group modulo torsion |
j |
-971475595264/15109875 |
j-invariant |
L |
3.7803999146099 |
L(r)(E,1)/r! |
Ω |
1.2816227841051 |
Real period |
R |
0.12290407525699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6105e1 91575bq1 |
Quadratic twists by: -3 5 |