Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150ex |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
25804800 |
Modular degree for the optimal curve |
Δ |
2.2546716575625E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230462105,1346491067897] |
[a1,a2,a3,a4,a6] |
Generators |
[2799:849100:1] |
Generators of the group modulo torsion |
j |
118843307222596927933249/19794099600000000 |
j-invariant |
L |
11.898161560489 |
L(r)(E,1)/r! |
Ω |
0.096253399485316 |
Real period |
R |
3.0903224243246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005557 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050bk1 16830ba1 |
Quadratic twists by: -3 5 |