Atkin-Lehner |
3- 5+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
40545g |
Isogeny class |
Conductor |
40545 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-1616045650875 = -1 · 315 · 53 · 17 · 53 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 -3 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1302,58428] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-365:1] [-6:224:1] |
Generators of the group modulo torsion |
j |
334833680384/2216797875 |
j-invariant |
L |
6.082427244099 |
L(r)(E,1)/r! |
Ω |
0.61249248808941 |
Real period |
R |
2.4826538130583 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13515e1 |
Quadratic twists by: -3 |