Atkin-Lehner |
5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
21175ba |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9360 |
Modular degree for the optimal curve |
Δ |
330859375 = 58 · 7 · 112 |
Discriminant |
Eigenvalues |
1 1 5- 7+ 11- 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1576,23923] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:226:1] |
Generators of the group modulo torsion |
j |
9150625/7 |
j-invariant |
L |
6.6017983401856 |
L(r)(E,1)/r! |
Ω |
1.6985339944354 |
Real period |
R |
3.8867625621942 |
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 |
21175u1 21175bk1 |
Quadratic twists by: 5 -11 |