Atkin-Lehner |
2+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52514h |
Isogeny class |
Conductor |
52514 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
480000 |
Modular degree for the optimal curve |
Δ |
-10396822909856768 = -1 · 210 · 75 · 117 · 31 |
Discriminant |
Eigenvalues |
2+ -1 -4 7+ 11- -4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-62317,-7766755] |
[a1,a2,a3,a4,a6] |
Generators |
[314:1779:1] |
Generators of the group modulo torsion |
j |
-15107691357361/5868735488 |
j-invariant |
L |
1.680206908864 |
L(r)(E,1)/r! |
Ω |
0.14823057793172 |
Real period |
R |
1.4168862223781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4774k1 |
Quadratic twists by: -11 |