Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520de |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.6927760359557E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1327394883,-18603840798398] |
[a1,a2,a3,a4,a6] |
Generators |
[-254202831:-1170693986:12167] |
Generators of the group modulo torsion |
j |
86623684689189325642735681/56690726941459561860 |
j-invariant |
L |
6.8980128521939 |
L(r)(E,1)/r! |
Ω |
0.025013045917557 |
Real period |
R |
8.6180188663866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190l7 21840cl8 |
Quadratic twists by: -4 -3 |