Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
125840bp |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
28385280 |
Modular degree for the optimal curve |
Δ |
-4.4202352503371E+24 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17480104,97169346580] |
[a1,a2,a3,a4,a6] |
Generators |
[-79108404:5332032706:29791] |
Generators of the group modulo torsion |
j |
81402860249195471/609157120000000 |
j-invariant |
L |
4.8716831244099 |
L(r)(E,1)/r! |
Ω |
0.056537640847696 |
Real period |
R |
10.770883905549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000405397 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15730d1 11440k1 |
Quadratic twists by: -4 -11 |