Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950io |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-535294632215700 = -1 · 22 · 33 · 52 · 79 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6222,-1096488] |
[a1,a2,a3,a4,a6] |
Generators |
[1068:34452:1] |
Generators of the group modulo torsion |
j |
9056932295/181997172 |
j-invariant |
L |
11.986898417635 |
L(r)(E,1)/r! |
Ω |
0.25285629910841 |
Real period |
R |
0.65841626768391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999715049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950cb1 17850be1 |
Quadratic twists by: 5 -7 |