Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100dd |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-1388832480000 = -1 · 28 · 311 · 54 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8400,301700] |
[a1,a2,a3,a4,a6] |
Generators |
[64:162:1] |
Generators of the group modulo torsion |
j |
-11468800/243 |
j-invariant |
L |
5.8360704568931 |
L(r)(E,1)/r! |
Ω |
0.85433555177477 |
Real period |
R |
0.56926017386421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999878 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700r1 44100br1 44100cr1 |
Quadratic twists by: -3 5 -7 |