Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150g |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
106488000 |
Modular degree for the optimal curve |
Δ |
-1.2116368319046E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 0 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,211815925,-1181780647875] |
[a1,a2,a3,a4,a6] |
Generators |
[574146834886114897951153535785:134077128440679294084640061517052:11241977900934025917432125] |
Generators of the group modulo torsion |
j |
255811175/294912 |
j-invariant |
L |
2.5579095137489 |
L(r)(E,1)/r! |
Ω |
0.026157847690474 |
Real period |
R |
48.893730554912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126150di1 126150dd1 |
Quadratic twists by: 5 29 |