Atkin-Lehner |
3+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
20025f |
Isogeny class |
Conductor |
20025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
-60901969921875 = -1 · 39 · 58 · 892 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 2 -5 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-60750,-5775469] |
[a1,a2,a3,a4,a6] |
Generators |
[2289:108850:1] |
Generators of the group modulo torsion |
j |
-3224862720/7921 |
j-invariant |
L |
3.7388076798447 |
L(r)(E,1)/r! |
Ω |
0.15202642543017 |
Real period |
R |
6.1482858477817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20025e1 20025c1 |
Quadratic twists by: -3 5 |