Atkin-Lehner |
13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
48373a |
Isogeny class |
Conductor |
48373 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
263520 |
Modular degree for the optimal curve |
Δ |
-32398535896540489 = -1 · 132 · 618 |
Discriminant |
Eigenvalues |
1 0 -1 2 -2 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-326285,72339554] |
[a1,a2,a3,a4,a6] |
Generators |
[67430:877026:125] |
Generators of the group modulo torsion |
j |
-20039049/169 |
j-invariant |
L |
5.9957709728336 |
L(r)(E,1)/r! |
Ω |
0.37144884938326 |
Real period |
R |
8.0707895350708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48373b1 |
Quadratic twists by: 61 |