Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fh |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58490880 |
Modular degree for the optimal curve |
Δ |
4.4454695538631E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1205379021,-16104104524179] |
[a1,a2,a3,a4,a6] |
Generators |
[-2708417713771402654411027463236602751523222583669662958317971284055:1774374592199799255024009225093806691462468754124977072301254357916:136652814685084017775844530821190373978338997905481740016837029] |
Generators of the group modulo torsion |
j |
189144902490810055678958872576/43412788611944537428125 |
j-invariant |
L |
5.2913669581486 |
L(r)(E,1)/r! |
Ω |
0.025622684509371 |
Real period |
R |
103.25551478053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ds1 28560bq1 |
Quadratic twists by: -4 8 |