Atkin-Lehner |
3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725bg |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-1330875 = -1 · 32 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7+ -3 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-498,4448] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-8:1] [6:40:1] |
Generators of the group modulo torsion |
j |
-647868416/63 |
j-invariant |
L |
4.7528512681653 |
L(r)(E,1)/r! |
Ω |
2.5966042803856 |
Real period |
R |
0.45760257961994 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725co1 88725bj1 |
Quadratic twists by: 5 13 |