Atkin-Lehner |
2- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48944z |
Isogeny class |
Conductor |
48944 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
186641874944 = 216 · 73 · 192 · 23 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 0 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2224,33876] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:266:1] [-1:190:1] |
Generators of the group modulo torsion |
j |
297141543217/45566864 |
j-invariant |
L |
6.3407390575336 |
L(r)(E,1)/r! |
Ω |
0.96753818998697 |
Real period |
R |
1.0922461292576 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6118h1 |
Quadratic twists by: -4 |