Atkin-Lehner |
2- 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
114840p |
Isogeny class |
Conductor |
114840 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8640000 |
Modular degree for the optimal curve |
Δ |
-1.7838041711035E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14062197,978242198] |
[a1,a2,a3,a4,a6] |
Generators |
[-526:58443:8] |
Generators of the group modulo torsion |
j |
11122938208852032477492/6451838003123046875 |
j-invariant |
L |
7.5429862969934 |
L(r)(E,1)/r! |
Ω |
0.060929055717763 |
Real period |
R |
6.1899747145765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114840c1 |
Quadratic twists by: -3 |