Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608bk |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
65894400 |
Modular degree for the optimal curve |
Δ |
-3.1682164529959E+25 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11- 0 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5340841665,150230539642527] |
[a1,a2,a3,a4,a6] |
Generators |
[108237:28986012:1] |
Generators of the group modulo torsion |
j |
-64270680662155941646665331249/120857866401516355584 |
j-invariant |
L |
10.686568139806 |
L(r)(E,1)/r! |
Ω |
0.056472250844551 |
Real period |
R |
7.2782976106797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124608cc1 3894i1 |
Quadratic twists by: -4 8 |