Atkin-Lehner |
3- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
83475t |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8.8489807001398E+23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29544755,-42091022878] |
[a1,a2,a3,a4,a6] |
Generators |
[-8866299:-230171813:2197] |
Generators of the group modulo torsion |
j |
250390197566955663841/77686524665150625 |
j-invariant |
L |
3.9572163069971 |
L(r)(E,1)/r! |
Ω |
0.066327525503278 |
Real period |
R |
7.4577188716086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943745 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27825l4 16695j3 |
Quadratic twists by: -3 5 |