Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150u |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-822115026562500 = -1 · 22 · 33 · 58 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- 0 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1575,-1380375] |
[a1,a2,a3,a4,a6] |
Generators |
[116:63:1] |
Generators of the group modulo torsion |
j |
-625/1188 |
j-invariant |
L |
2.3088188000063 |
L(r)(E,1)/r! |
Ω |
0.22718493559047 |
Real period |
R |
2.5406821033331 |
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 |
54450hg1 18150ct1 1650p1 |
Quadratic twists by: -3 5 -11 |