Atkin-Lehner |
3- 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73515p |
Isogeny class |
Conductor |
73515 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
400896 |
Modular degree for the optimal curve |
Δ |
-1353279052734375 = -1 · 3 · 512 · 133 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 0 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-67025,-6915000] |
[a1,a2,a3,a4,a6] |
j |
-15156695586520333/615966796875 |
j-invariant |
L |
1.7760649104052 |
L(r)(E,1)/r! |
Ω |
0.14800540412986 |
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 |
73515l1 |
Quadratic twists by: 13 |