Atkin-Lehner |
3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
52185c |
Isogeny class |
Conductor |
52185 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
-3964288589773647975 = -1 · 318 · 52 · 78 · 71 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1603893,787006872] |
[a1,a2,a3,a4,a6] |
j |
-3878484596972846281/33695897030775 |
j-invariant |
L |
0.49765625840795 |
L(r)(E,1)/r! |
Ω |
0.24882812945516 |
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 |
7455e1 |
Quadratic twists by: -7 |