Atkin-Lehner |
11- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
39083f |
Isogeny class |
Conductor |
39083 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
196000 |
Modular degree for the optimal curve |
Δ |
-47791902448763 = -1 · 116 · 175 · 19 |
Discriminant |
Eigenvalues |
0 3 -2 -4 11- -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5566,-369020] |
[a1,a2,a3,a4,a6] |
Generators |
[6204:87409:27] |
Generators of the group modulo torsion |
j |
-10764582912/26977283 |
j-invariant |
L |
5.2542860620998 |
L(r)(E,1)/r! |
Ω |
0.25739509606628 |
Real period |
R |
2.04133106745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
323a1 |
Quadratic twists by: -11 |