Atkin-Lehner |
3- 7+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
28119c |
Isogeny class |
Conductor |
28119 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
302080 |
Modular degree for the optimal curve |
Δ |
-243104316638828463 = -1 · 310 · 72 · 138 · 103 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ -6 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,60067,23040504] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:3046:1] [-125:3748:1] |
Generators of the group modulo torsion |
j |
23967960826214963375/243104316638828463 |
j-invariant |
L |
6.0423785424692 |
L(r)(E,1)/r! |
Ω |
0.22966335897195 |
Real period |
R |
0.6577429862469 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84357e1 |
Quadratic twists by: -3 |