Atkin-Lehner |
2- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45632v |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
183930095403008 = 228 · 23 · 313 |
Discriminant |
Eigenvalues |
2- -2 0 4 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-914273,-336786401] |
[a1,a2,a3,a4,a6] |
Generators |
[-141266967044620750830:-2143521147354873341:256011586464473000] |
Generators of the group modulo torsion |
j |
322412557611777625/701637632 |
j-invariant |
L |
4.7143629862144 |
L(r)(E,1)/r! |
Ω |
0.15439406371629 |
Real period |
R |
30.534613007393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45632d1 11408h1 |
Quadratic twists by: -4 8 |