Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53280bw |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-2022069786120000000 = -1 · 29 · 36 · 57 · 375 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,278133,-38641826] |
[a1,a2,a3,a4,a6] |
j |
6375052761771448/5417496640625 |
j-invariant |
L |
4.0465055231866 |
L(r)(E,1)/r! |
Ω |
0.14451805438949 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53280s1 106560bz1 5920d1 |
Quadratic twists by: -4 8 -3 |