Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475cf |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1317853775478515625 = 34 · 510 · 78 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-453276,-103702427] |
[a1,a2,a3,a4,a6] |
j |
5602762882081/716900625 |
j-invariant |
L |
5.9374745888654 |
L(r)(E,1)/r! |
Ω |
0.18554608091057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12495a2 8925h2 |
Quadratic twists by: 5 -7 |