Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950hr |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-2049960937500 = -1 · 22 · 32 · 510 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8688,318492] |
[a1,a2,a3,a4,a6] |
j |
-13532315887/382500 |
j-invariant |
L |
6.596576058801 |
L(r)(E,1)/r! |
Ω |
0.82457184087637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990o1 124950gb1 |
Quadratic twists by: 5 -7 |