Atkin-Lehner |
2- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400cm |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-1011200000000 = -1 · 215 · 58 · 79 |
Discriminant |
Eigenvalues |
2- -1 5- 0 -4 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,49537] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-200:1] |
Generators of the group modulo torsion |
j |
-5000/79 |
j-invariant |
L |
3.0452950684499 |
L(r)(E,1)/r! |
Ω |
0.74121978519209 |
Real period |
R |
0.34237428383427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998391706 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126400cq1 63200r1 126400bi1 |
Quadratic twists by: -4 8 5 |