Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360cf |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
984000 = 26 · 3 · 53 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20500,1136602] |
[a1,a2,a3,a4,a6] |
Generators |
[99:260:1] [279:4130:1] |
Generators of the group modulo torsion |
j |
14887662203808064/15375 |
j-invariant |
L |
7.4846027907246 |
L(r)(E,1)/r! |
Ω |
1.7525476310121 |
Real period |
R |
5.6942648582227 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360di1 19680j3 118080ep1 |
Quadratic twists by: -4 8 -3 |