Atkin-Lehner |
2- 7- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116522n |
Isogeny class |
Conductor |
116522 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
8515584 |
Modular degree for the optimal curve |
Δ |
-3.6964598219866E+21 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 3 5 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2886393,2235941245] |
[a1,a2,a3,a4,a6] |
Generators |
[587:-64582:1] |
Generators of the group modulo torsion |
j |
22604861502814790303/31419390066950144 |
j-invariant |
L |
7.7192338485588 |
L(r)(E,1)/r! |
Ω |
0.094636297519213 |
Real period |
R |
0.72828008550686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999914916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16646b1 |
Quadratic twists by: -7 |