Atkin-Lehner |
3+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18135a |
Isogeny class |
Conductor |
18135 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7104 |
Modular degree for the optimal curve |
Δ |
-42163875 = -1 · 33 · 53 · 13 · 312 |
Discriminant |
Eigenvalues |
2 3+ 5+ -1 3 13+ 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,87,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[2:27:8] |
Generators of the group modulo torsion |
j |
2697228288/1561625 |
j-invariant |
L |
9.2543098915523 |
L(r)(E,1)/r! |
Ω |
1.2106641361145 |
Real period |
R |
1.9109986030587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18135e1 90675c1 |
Quadratic twists by: -3 5 |