Atkin-Lehner |
2- 5+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970v |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
213120 |
Modular degree for the optimal curve |
Δ |
-1526443105880 = -1 · 23 · 5 · 72 · 112 · 235 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11+ -1 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1331,62201] |
[a1,a2,a3,a4,a6] |
Generators |
[20:199:1] |
Generators of the group modulo torsion |
j |
-5322089719681/31151900120 |
j-invariant |
L |
10.715265352978 |
L(r)(E,1)/r! |
Ω |
0.73225297807395 |
Real period |
R |
2.4388805667346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123970bk1 |
Quadratic twists by: -7 |