Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850gm |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1225728 |
Modular degree for the optimal curve |
Δ |
-3325280635921293000 = -1 · 23 · 312 · 53 · 7 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-108950,88847277] |
[a1,a2,a3,a4,a6] |
Generators |
[599:15135:1] |
Generators of the group modulo torsion |
j |
-1569510182075597/36491419872936 |
j-invariant |
L |
11.280848023146 |
L(r)(E,1)/r! |
Ω |
0.21075500070859 |
Real period |
R |
4.4604904529943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19950p1 59850cs1 |
Quadratic twists by: -3 5 |