Atkin-Lehner |
2+ 3+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
6798a |
Isogeny class |
Conductor |
6798 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1321488 |
Modular degree for the optimal curve |
Δ |
20395252645815168 = 27 · 319 · 113 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 11+ 5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-782375159,-8423401484907] |
[a1,a2,a3,a4,a6] |
Generators |
[-217060666266020605578015277006783660715106818268283984981884588651846680363:108550451648091615218522341619003779734932182091370353511627296065033682871:13440738106085343348446105706943883312199240390390651443397877526111623] |
Generators of the group modulo torsion |
j |
52962548103538888769964565222393/20395252645815168 |
j-invariant |
L |
3.1672501017414 |
L(r)(E,1)/r! |
Ω |
0.028546034833031 |
Real period |
R |
110.95236589835 |
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 |
54384x1 20394x1 74778y1 |
Quadratic twists by: -4 -3 -11 |