Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
13950db |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-626119532370000 = -1 · 24 · 37 · 54 · 315 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11245,1110147] |
[a1,a2,a3,a4,a6] |
Generators |
[1229:-43860:1] |
Generators of the group modulo torsion |
j |
345168179975/1374199248 |
j-invariant |
L |
7.4587354433064 |
L(r)(E,1)/r! |
Ω |
0.36611507374054 |
Real period |
R |
0.084886055167274 |
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 |
111600fz1 4650k1 13950x2 |
Quadratic twists by: -4 -3 5 |