Atkin-Lehner |
5+ 37- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
67525c |
Isogeny class |
Conductor |
67525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1781103759765625 = -1 · 512 · 372 · 732 |
Discriminant |
Eigenvalues |
-1 -2 5+ 0 -6 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-175713,28408042] |
[a1,a2,a3,a4,a6] |
Generators |
[-438:4844:1] [191:1255:1] |
Generators of the group modulo torsion |
j |
-38398611592014409/113990640625 |
j-invariant |
L |
4.1186528526325 |
L(r)(E,1)/r! |
Ω |
0.47234239715896 |
Real period |
R |
2.1799085141336 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13505a2 |
Quadratic twists by: 5 |