Atkin-Lehner |
3+ 5- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36465l |
Isogeny class |
Conductor |
36465 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
4988928 |
Modular degree for the optimal curve |
Δ |
3.1447850262329E+21 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 11- 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-104218077,409455979416] |
[a1,a2,a3,a4,a6] |
Generators |
[34206:1623147:8] |
Generators of the group modulo torsion |
j |
125185170434731557236225046361/3144785026232883515625 |
j-invariant |
L |
4.4527918351833 |
L(r)(E,1)/r! |
Ω |
0.13160161463641 |
Real period |
R |
2.4168135059339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109395h1 |
Quadratic twists by: -3 |