Atkin-Lehner |
2- 47- |
Signs for the Atkin-Lehner involutions |
Class |
35344b |
Isogeny class |
Conductor |
35344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1082880 |
Modular degree for the optimal curve |
Δ |
-9.9871774890571E+19 |
Discriminant |
Eigenvalues |
2- 0 3 0 4 -1 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3841451,2937567962] |
[a1,a2,a3,a4,a6] |
Generators |
[107592036053:-1660818105446:118370771] |
Generators of the group modulo torsion |
j |
-64278657/1024 |
j-invariant |
L |
7.0643275463529 |
L(r)(E,1)/r! |
Ω |
0.18962724846732 |
Real period |
R |
18.626878793662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4418b1 35344c1 |
Quadratic twists by: -4 -47 |