Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45012a |
Isogeny class |
Conductor |
45012 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4377600 |
Modular degree for the optimal curve |
Δ |
-2.3933424227011E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-111745597,454710667270] |
[a1,a2,a3,a4,a6] |
Generators |
[6285:24805:1] |
Generators of the group modulo torsion |
j |
-5444260314792559771648/84436212706659 |
j-invariant |
L |
5.977029903711 |
L(r)(E,1)/r! |
Ω |
0.13289109381829 |
Real period |
R |
3.748075292318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4092a1 |
Quadratic twists by: -11 |