Atkin-Lehner |
3+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
6489a |
Isogeny class |
Conductor |
6489 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1120 |
Modular degree for the optimal curve |
Δ |
-46740267 = -1 · 33 · 75 · 103 |
Discriminant |
Eigenvalues |
0 3+ 2 7- -1 -2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,36,318] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:10:1] |
Generators of the group modulo torsion |
j |
191102976/1731121 |
j-invariant |
L |
3.8412141635353 |
L(r)(E,1)/r! |
Ω |
1.4771043542236 |
Real period |
R |
0.2600502904586 |
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 |
103824y1 6489b1 45423b1 |
Quadratic twists by: -4 -3 -7 |