Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6120r |
Isogeny class |
Conductor |
6120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
80306640 = 24 · 310 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20658,-1142827] |
[a1,a2,a3,a4,a6] |
Generators |
[358:6111:1] |
Generators of the group modulo torsion |
j |
83587439220736/6885 |
j-invariant |
L |
3.6985600606443 |
L(r)(E,1)/r! |
Ω |
0.39822405335827 |
Real period |
R |
4.6438180082969 |
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 |
12240g1 48960ck1 2040c1 30600t1 |
Quadratic twists by: -4 8 -3 5 |