Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dn |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-558081842872320 = -1 · 225 · 39 · 5 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -1 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6123,-1151462] |
[a1,a2,a3,a4,a6] |
Generators |
[3351:512:27] |
Generators of the group modulo torsion |
j |
-50308609/1105920 |
j-invariant |
L |
6.9133544457183 |
L(r)(E,1)/r! |
Ω |
0.22401883910767 |
Real period |
R |
3.8575742456421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016599 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15210bg1 40560cs1 121680ew1 |
Quadratic twists by: -4 -3 13 |