Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73800cr |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-560418750000 = -1 · 24 · 37 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -1 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-750,-36875] |
[a1,a2,a3,a4,a6] |
Generators |
[41:36:1] [50:225:1] |
Generators of the group modulo torsion |
j |
-10240/123 |
j-invariant |
L |
9.6243098373504 |
L(r)(E,1)/r! |
Ω |
0.39280067611905 |
Real period |
R |
1.0209068728039 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600u1 73800r1 |
Quadratic twists by: -3 5 |