Atkin-Lehner |
2- 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950cl |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-1290867637500000 = -1 · 25 · 36 · 58 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -5 -3 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-71638,7573892] |
[a1,a2,a3,a4,a6] |
Generators |
[302:-3826:1] |
Generators of the group modulo torsion |
j |
-104086502166145/3304621152 |
j-invariant |
L |
10.620015700559 |
L(r)(E,1)/r! |
Ω |
0.48123146602806 |
Real period |
R |
0.12260230552666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997139 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61950h1 |
Quadratic twists by: 5 |