Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850bs |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
469116748800000000 = 216 · 39 · 58 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2964942,1965509716] |
[a1,a2,a3,a4,a6] |
Generators |
[3029:142598:1] |
Generators of the group modulo torsion |
j |
253060782505556761/41184460800 |
j-invariant |
L |
4.8140172108975 |
L(r)(E,1)/r! |
Ω |
0.28622362018979 |
Real period |
R |
4.2047693406642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19950by1 11970bp1 |
Quadratic twists by: -3 5 |