Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240bw |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
35400221039001600 = 230 · 39 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-128307,15198194] |
[a1,a2,a3,a4,a6] |
j |
78232514242609/11855462400 |
j-invariant |
L |
1.4063260677477 |
L(r)(E,1)/r! |
Ω |
0.3515815168575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6030l1 16080m1 |
Quadratic twists by: -4 -3 |