Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
114400f |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
476474880 |
Modular degree for the optimal curve |
Δ |
1.9746991346329E+26 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-435229478333,-110516249378802037] |
[a1,a2,a3,a4,a6] |
Generators |
[-19438535960841623022111492195062125062882090971713:6514150249616840475121195805112051244090830332:51034771682629002458889634035313552817474023] |
Generators of the group modulo torsion |
j |
227938994878440140025621798400/4936747836582133 |
j-invariant |
L |
10.74747599123 |
L(r)(E,1)/r! |
Ω |
0.0058778700323631 |
Real period |
R |
65.302299326941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114400v1 114400bj1 |
Quadratic twists by: -4 5 |