Atkin-Lehner |
2- 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
42160w |
Isogeny class |
Conductor |
42160 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
3.465130793943E+21 |
Discriminant |
Eigenvalues |
2- -1 5- 2 2 3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5713480,4430220272] |
[a1,a2,a3,a4,a6] |
Generators |
[-686:89590:1] |
Generators of the group modulo torsion |
j |
5035771024411098786121/845979197740000000 |
j-invariant |
L |
5.8788791238469 |
L(r)(E,1)/r! |
Ω |
0.13440793631456 |
Real period |
R |
0.20828132074724 |
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 |
5270c1 |
Quadratic twists by: -4 |