Atkin-Lehner |
2+ 3+ 5- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42090d |
Isogeny class |
Conductor |
42090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-22304332800 = -1 · 210 · 33 · 52 · 232 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,613,-3939] |
[a1,a2,a3,a4,a6] |
Generators |
[7:24:1] |
Generators of the group modulo torsion |
j |
25409591008199/22304332800 |
j-invariant |
L |
3.3432842391664 |
L(r)(E,1)/r! |
Ω |
0.66327258082406 |
Real period |
R |
2.5202943222941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126270bd1 |
Quadratic twists by: -3 |