Atkin-Lehner |
5+ 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7285b |
Isogeny class |
Conductor |
7285 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2776 |
Modular degree for the optimal curve |
Δ |
-225835 = -1 · 5 · 312 · 47 |
Discriminant |
Eigenvalues |
-2 -2 5+ 0 2 -5 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-316,2060] |
[a1,a2,a3,a4,a6] |
Generators |
[7:15:1] |
Generators of the group modulo torsion |
j |
-3500729749504/225835 |
j-invariant |
L |
1.0816054055643 |
L(r)(E,1)/r! |
Ω |
2.9829762213006 |
Real period |
R |
0.18129635057781 |
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 |
116560p1 65565l1 36425c1 |
Quadratic twists by: -4 -3 5 |