Atkin-Lehner |
3+ 5+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
18105c |
Isogeny class |
Conductor |
18105 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22400 |
Modular degree for the optimal curve |
Δ |
-5568136171875 = -1 · 310 · 57 · 17 · 71 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 3 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3911,148796] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:364:1] |
Generators of the group modulo torsion |
j |
-6617564753526784/5568136171875 |
j-invariant |
L |
2.7373345678318 |
L(r)(E,1)/r! |
Ω |
0.69705122543541 |
Real period |
R |
1.9635103332054 |
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 |
54315h1 90525k1 |
Quadratic twists by: -3 5 |