Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850ef |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-409037343750 = -1 · 2 · 39 · 57 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-380,30997] |
[a1,a2,a3,a4,a6] |
Generators |
[62:1315:8] |
Generators of the group modulo torsion |
j |
-19683/1330 |
j-invariant |
L |
10.169994749041 |
L(r)(E,1)/r! |
Ω |
0.78113743178814 |
Real period |
R |
1.6274336523523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850q1 11970c1 |
Quadratic twists by: -3 5 |