Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235h |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
205932279397674375 = 37 · 54 · 74 · 137 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-355185,78585066] |
[a1,a2,a3,a4,a6] |
Generators |
[-4626:78363:8] [-522:11286:1] |
Generators of the group modulo torsion |
j |
1408317602329/58524375 |
j-invariant |
L |
10.676603430797 |
L(r)(E,1)/r! |
Ω |
0.31381500228459 |
Real period |
R |
2.1263728934792 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745t3 4095n4 |
Quadratic twists by: -3 13 |