Atkin-Lehner |
2+ 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
48312h |
Isogeny class |
Conductor |
48312 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
7249920 |
Modular degree for the optimal curve |
Δ |
-7.95542169397E+24 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30864234,150900881033] |
[a1,a2,a3,a4,a6] |
Generators |
[-1192350332632:78144661370853:208527857] |
Generators of the group modulo torsion |
j |
-278767865679020300941312/682049185011145442403 |
j-invariant |
L |
6.9154246752057 |
L(r)(E,1)/r! |
Ω |
0.065379626288177 |
Real period |
R |
13.221673684537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96624p1 16104g1 |
Quadratic twists by: -4 -3 |