Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150cc |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
3.167055936E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-798192,45225216] |
[a1,a2,a3,a4,a6] |
Generators |
[1239:30318:1] |
Generators of the group modulo torsion |
j |
4937402992298041/2780405760000 |
j-invariant |
L |
5.0796828184622 |
L(r)(E,1)/r! |
Ω |
0.17961262720831 |
Real period |
R |
1.1783884812437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999896559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050da1 16830cf1 |
Quadratic twists by: -3 5 |