Atkin-Lehner |
3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475i |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
474427359172265625 = 36 · 58 · 78 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-261563,39297656] |
[a1,a2,a3,a4,a6] |
j |
1076575468249/258084225 |
j-invariant |
L |
1.1105343848453 |
L(r)(E,1)/r! |
Ω |
0.27763359596715 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12495p2 8925u2 |
Quadratic twists by: 5 -7 |