Atkin-Lehner |
2- 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125856bg |
Isogeny class |
Conductor |
125856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-270109126656 = -1 · 212 · 38 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 -5 -6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4152,105968] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:207:1] [44:92:1] |
Generators of the group modulo torsion |
j |
-2650991104/90459 |
j-invariant |
L |
12.004515098273 |
L(r)(E,1)/r! |
Ω |
0.97400308457154 |
Real period |
R |
1.540615641464 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125856ba1 41952d1 |
Quadratic twists by: -4 -3 |