Atkin-Lehner |
3- 5+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25935m |
Isogeny class |
Conductor |
25935 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3517382686545 = -1 · 33 · 5 · 7 · 134 · 194 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3769,-14190] |
[a1,a2,a3,a4,a6] |
Generators |
[6:90:1] [46:-530:1] |
Generators of the group modulo torsion |
j |
5920998113398031/3517382686545 |
j-invariant |
L |
5.6223665152948 |
L(r)(E,1)/r! |
Ω |
0.46232941305545 |
Real period |
R |
4.0536511821283 |
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 |
77805s3 129675l3 |
Quadratic twists by: -3 5 |