Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83300l |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
6.00259904125E+19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 2 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1280533,414457063] |
[a1,a2,a3,a4,a6] |
Generators |
[-963798:829904375:39304] |
Generators of the group modulo torsion |
j |
205520896/53125 |
j-invariant |
L |
7.7739829980496 |
L(r)(E,1)/r! |
Ω |
0.18474395083238 |
Real period |
R |
10.519942552412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16660d1 83300d1 |
Quadratic twists by: 5 -7 |