Atkin-Lehner |
2+ 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
48480b |
Isogeny class |
Conductor |
48480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3525465600 = -1 · 29 · 33 · 52 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,120,-2772] |
[a1,a2,a3,a4,a6] |
Generators |
[47:330:1] |
Generators of the group modulo torsion |
j |
370146232/6885675 |
j-invariant |
L |
8.2906209879385 |
L(r)(E,1)/r! |
Ω |
0.68439800404973 |
Real period |
R |
4.0379140689529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48480a2 96960cd2 |
Quadratic twists by: -4 8 |