Atkin-Lehner |
2+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114800c |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
450016000000 = 211 · 56 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -6 0 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2808,46388] |
[a1,a2,a3,a4,a6] |
Generators |
[19:16:1] |
Generators of the group modulo torsion |
j |
76545506/14063 |
j-invariant |
L |
6.6293872816438 |
L(r)(E,1)/r! |
Ω |
0.89272776581758 |
Real period |
R |
3.7129948889053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57400e1 4592b1 |
Quadratic twists by: -4 5 |