Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960bt |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
178941182607360000 = 224 · 310 · 54 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-242508,41214832] |
[a1,a2,a3,a4,a6] |
j |
8253429989329/936360000 |
j-invariant |
L |
1.240771283097 |
L(r)(E,1)/r! |
Ω |
0.3101928209266 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48960el2 1530f2 16320bn2 |
Quadratic twists by: -4 8 -3 |