Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475bv |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4068912292195078125 = 312 · 57 · 78 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27229938,54688925367] |
[a1,a2,a3,a4,a6] |
Generators |
[3147:-14436:1] |
Generators of the group modulo torsion |
j |
1214661886599131209/2213451765 |
j-invariant |
L |
4.697761041045 |
L(r)(E,1)/r! |
Ω |
0.21166771375879 |
Real period |
R |
0.92475153583144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12495g4 8925i3 |
Quadratic twists by: 5 -7 |