Atkin-Lehner |
2- 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010da |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
6330270330090000 = 24 · 33 · 54 · 710 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5494371,-4957526799] |
[a1,a2,a3,a4,a6] |
Generators |
[115518:13627941:8] |
Generators of the group modulo torsion |
j |
155915546268841823521/53806410000 |
j-invariant |
L |
11.407085122735 |
L(r)(E,1)/r! |
Ω |
0.098609797726027 |
Real period |
R |
4.8199593238213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430w1 |
Quadratic twists by: -7 |