Atkin-Lehner |
2- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400co |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
9875000000 = 26 · 59 · 79 |
Discriminant |
Eigenvalues |
2- 2 5- -2 4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13208,588662] |
[a1,a2,a3,a4,a6] |
Generators |
[74767957578:38655742859:1080045576] |
Generators of the group modulo torsion |
j |
2038720832/79 |
j-invariant |
L |
10.123099176238 |
L(r)(E,1)/r! |
Ω |
1.2096041699389 |
Real period |
R |
16.737870844482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916487 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126400ct1 63200s2 126400cp1 |
Quadratic twists by: -4 8 5 |