Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950gy |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
20321280 |
Modular degree for the optimal curve |
Δ |
-1.565980985348E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-71212338,231375260052] |
[a1,a2,a3,a4,a6] |
Generators |
[4806:-14310:1] |
Generators of the group modulo torsion |
j |
-277118243254257855625/108658112246928 |
j-invariant |
L |
14.04939302611 |
L(r)(E,1)/r! |
Ω |
0.12201767501755 |
Real period |
R |
0.68537069744924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049412 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950bl1 124950fl1 |
Quadratic twists by: 5 -7 |