Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
9270s |
Isogeny class |
Conductor |
9270 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-27031320 = -1 · 23 · 38 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 3 -5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158,-763] |
[a1,a2,a3,a4,a6] |
Generators |
[15:1:1] |
Generators of the group modulo torsion |
j |
-594823321/37080 |
j-invariant |
L |
6.178289000771 |
L(r)(E,1)/r! |
Ω |
0.6712068922859 |
Real period |
R |
1.5341243442167 |
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 |
74160bh1 3090e1 46350p1 |
Quadratic twists by: -4 -3 5 |