Atkin-Lehner |
3+ 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
65325a |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.1157093207515E+19 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 -3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1039554883,-12900530877582] |
[a1,a2,a3,a4,a6] |
Generators |
[5286933859208010649950666:-1285867668431753870966022104:70259768139082344633] |
Generators of the group modulo torsion |
j |
-7951443085196767893414117376/714053965280955 |
j-invariant |
L |
4.0202593487333 |
L(r)(E,1)/r! |
Ω |
0.013294062104631 |
Real period |
R |
37.801269065578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13065n3 |
Quadratic twists by: 5 |