Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15400p |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
492800 = 28 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- -5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-77] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] |
Generators of the group modulo torsion |
j |
640000/77 |
j-invariant |
L |
2.8711516218854 |
L(r)(E,1)/r! |
Ω |
2.0025593497122 |
Real period |
R |
0.71687054426076 |
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 |
30800j1 123200d1 15400k1 107800cb1 |
Quadratic twists by: -4 8 5 -7 |