Atkin-Lehner |
2- 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150cn |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
643008691406250000 = 24 · 34 · 514 · 133 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3450213,2466114417] |
[a1,a2,a3,a4,a6] |
Generators |
[1092:429:1] |
Generators of the group modulo torsion |
j |
290697579488628449929/41152556250000 |
j-invariant |
L |
12.978098742116 |
L(r)(E,1)/r! |
Ω |
0.27803833568342 |
Real period |
R |
0.97244524376998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430a1 |
Quadratic twists by: 5 |