Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520x |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-8155132876800 = -1 · 211 · 36 · 52 · 75 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7563,-288038] |
[a1,a2,a3,a4,a6] |
Generators |
[111:490:1] |
Generators of the group modulo torsion |
j |
-32044133522/5462275 |
j-invariant |
L |
6.385309389928 |
L(r)(E,1)/r! |
Ω |
0.25361102518115 |
Real period |
R |
1.2588785099006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32760bd1 7280h1 |
Quadratic twists by: -4 -3 |