Atkin-Lehner |
5+ 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70525j |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-32590263671875 = -1 · 510 · 72 · 133 · 31 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 5 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6554492,6460510791] |
[a1,a2,a3,a4,a6] |
j |
-3188899403089790625/3337243 |
j-invariant |
L |
3.3140311722434 |
L(r)(E,1)/r! |
Ω |
0.41425389607244 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70525t1 |
Quadratic twists by: 5 |