Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53280s |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
14 |
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] |
Generators |
[142:9000:1] |
Generators of the group modulo torsion |
j |
6375052761771448/5417496640625 |
j-invariant |
L |
6.3183338214602 |
L(r)(E,1)/r! |
Ω |
0.16984743997069 |
Real period |
R |
2.6571466649823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53280bw1 106560cc1 5920j1 |
Quadratic twists by: -4 8 -3 |