Atkin-Lehner |
2+ 3- 5- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
64170n |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-1064503296000 = -1 · 214 · 36 · 53 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 -3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34209,2444413] |
[a1,a2,a3,a4,a6] |
Generators |
[242:2759:1] [262:9193:8] |
Generators of the group modulo torsion |
j |
-6073296192664849/1460224000 |
j-invariant |
L |
7.5468081975308 |
L(r)(E,1)/r! |
Ω |
0.85151288756076 |
Real period |
R |
0.73856860220739 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7130h1 |
Quadratic twists by: -3 |