Atkin-Lehner |
5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
4165h |
Isogeny class |
Conductor |
4165 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
8400 |
Modular degree for the optimal curve |
Δ |
-5206335903125 = -1 · 55 · 78 · 172 |
Discriminant |
Eigenvalues |
-1 -1 5- 7+ -2 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32635,2258262] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:2121:1] |
Generators of the group modulo torsion |
j |
-666793065841/903125 |
j-invariant |
L |
1.8437970920083 |
L(r)(E,1)/r! |
Ω |
0.76387026148881 |
Real period |
R |
0.080458562357375 |
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 |
66640bv1 37485q1 20825b1 4165e1 |
Quadratic twists by: -4 -3 5 -7 |