Atkin-Lehner |
2+ 3+ 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
63240j |
Isogeny class |
Conductor |
63240 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
13956096 |
Modular degree for the optimal curve |
Δ |
-3.8358430501233E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -3 -3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2323700,-297983322348] |
[a1,a2,a3,a4,a6] |
Generators |
[8309:506250:1] |
Generators of the group modulo torsion |
j |
-5420309776978520692816/149837619145439794921875 |
j-invariant |
L |
3.7632919585289 |
L(r)(E,1)/r! |
Ω |
0.029558017156164 |
Real period |
R |
2.8936096169383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126480s1 |
Quadratic twists by: -4 |