Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536cj |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
6591298387968 = 214 · 32 · 73 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 -6 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5873,123441] |
[a1,a2,a3,a4,a6] |
Generators |
[137:-1368:1] [-53:532:1] |
Generators of the group modulo torsion |
j |
1367595682000/402300927 |
j-invariant |
L |
6.9482251310446 |
L(r)(E,1)/r! |
Ω |
0.69708836105481 |
Real period |
R |
0.41531231424106 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536x2 6384bc2 76608fi2 |
Quadratic twists by: -4 8 -3 |