Atkin-Lehner |
2+ 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018b |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-561956411016 = -1 · 23 · 33 · 72 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,447,-35995] |
[a1,a2,a3,a4,a6] |
Generators |
[71:556:1] |
Generators of the group modulo torsion |
j |
365372528949/20813200408 |
j-invariant |
L |
2.9520465125318 |
L(r)(E,1)/r! |
Ω |
0.44031504842904 |
Real period |
R |
1.1173993572194 |
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 |
18018v2 126126t2 |
Quadratic twists by: -3 -7 |