Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475bs |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
52714151019140625 = 34 · 58 · 78 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-136001,-15842977] |
[a1,a2,a3,a4,a6] |
Generators |
[501:6217:1] |
Generators of the group modulo torsion |
j |
151334226289/28676025 |
j-invariant |
L |
7.6347045171402 |
L(r)(E,1)/r! |
Ω |
0.2518726940406 |
Real period |
R |
3.7889699327677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000393 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12495h2 8925d2 |
Quadratic twists by: 5 -7 |