Atkin-Lehner |
2+ 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850b |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
561199235625000000 = 26 · 39 · 510 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-255192,-34038784] |
[a1,a2,a3,a4,a6] |
Generators |
[1528:55288:1] |
Generators of the group modulo torsion |
j |
5976054062523/1824760000 |
j-invariant |
L |
4.1824582229638 |
L(r)(E,1)/r! |
Ω |
0.21745899218454 |
Real period |
R |
4.8083298154049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850do1 11970bf1 |
Quadratic twists by: -3 5 |