Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
17220g |
Isogeny class |
Conductor |
17220 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1077120 |
Modular degree for the optimal curve |
Δ |
-6.486064686675E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 0 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19834365,-34015199463] |
[a1,a2,a3,a4,a6] |
Generators |
[51104:11507125:1] |
Generators of the group modulo torsion |
j |
-3370844136847851709259776/2533619018232421875 |
j-invariant |
L |
4.6769832962062 |
L(r)(E,1)/r! |
Ω |
0.03576806166407 |
Real period |
R |
6.537932276191 |
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 |
68880cr1 51660g1 86100w1 120540bb1 |
Quadratic twists by: -4 -3 5 -7 |