Atkin-Lehner |
2- 3- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950ck |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
624 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-97115397120000 = -1 · 213 · 38 · 54 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -5 -5 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19263,1131417] |
[a1,a2,a3,a4,a6] |
Generators |
[132:879:1] [6:1005:1] |
Generators of the group modulo torsion |
j |
-1264785499290625/155384635392 |
j-invariant |
L |
15.938061364899 |
L(r)(E,1)/r! |
Ω |
0.5822381851871 |
Real period |
R |
0.043868240966832 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61950f1 |
Quadratic twists by: 5 |