Atkin-Lehner |
2- 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53802bt |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-30399593691372696 = -1 · 23 · 311 · 78 · 612 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 1 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1994,8389217] |
[a1,a2,a3,a4,a6] |
Generators |
[255:4813:1] |
Generators of the group modulo torsion |
j |
-208537/7233624 |
j-invariant |
L |
7.5855025833081 |
L(r)(E,1)/r! |
Ω |
0.29656599781244 |
Real period |
R |
1.0657412177007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17934j1 53802cn1 |
Quadratic twists by: -3 -7 |