Atkin-Lehner |
2- 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240bi |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-166580134776668160 = -1 · 238 · 33 · 5 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 6 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108627,-23989486] |
[a1,a2,a3,a4,a6] |
j |
-1281779604287883/1506258452480 |
j-invariant |
L |
2.0127618387386 |
L(r)(E,1)/r! |
Ω |
0.12579761489473 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6030a1 48240bd1 |
Quadratic twists by: -4 -3 |