Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
13254f |
Isogeny class |
Conductor |
13254 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-97372371649536 = -1 · 210 · 316 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 0 5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5030,-452377] |
[a1,a2,a3,a4,a6] |
Generators |
[881:25803:1] |
Generators of the group modulo torsion |
j |
6371277998591/44079842304 |
j-invariant |
L |
5.8808576196202 |
L(r)(E,1)/r! |
Ω |
0.29877607379477 |
Real period |
R |
0.98415805939999 |
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 |
106032bi1 39762i1 13254h1 |
Quadratic twists by: -4 -3 -47 |