Atkin-Lehner |
2+ 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240y |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4061537429944320 = -1 · 211 · 39 · 5 · 674 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,38373,1015274] |
[a1,a2,a3,a4,a6] |
j |
4185462859342/2720401335 |
j-invariant |
L |
2.1965654368516 |
L(r)(E,1)/r! |
Ω |
0.27457067966059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24120v3 16080c4 |
Quadratic twists by: -4 -3 |