Atkin-Lehner |
3- 5+ 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
75555c |
Isogeny class |
Conductor |
75555 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41840640 |
Modular degree for the optimal curve |
Δ |
-3.1089392319496E+28 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,602703720,-6287569738349] |
[a1,a2,a3,a4,a6] |
Generators |
[56968596169971892462292772029289228792936:-14505313949253799311728584158548372141349593:1021032577582726484741063340186491392] |
Generators of the group modulo torsion |
j |
33212976597287600681738286719/42646628696153411865234375 |
j-invariant |
L |
6.8858147112403 |
L(r)(E,1)/r! |
Ω |
0.019816852944086 |
Real period |
R |
57.912110896017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991178 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25185b1 |
Quadratic twists by: -3 |