Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280k |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
740275200 = 210 · 35 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15422400,-23306673348] |
[a1,a2,a3,a4,a6] |
Generators |
[-944959780053:-1088470:416832723] |
Generators of the group modulo torsion |
j |
396168254899399897286404/722925 |
j-invariant |
L |
3.7870603756198 |
L(r)(E,1)/r! |
Ω |
0.076183612371184 |
Real period |
R |
12.427411413522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560bz4 114240dg4 42840bn4 71400dq4 |
Quadratic twists by: -4 8 -3 5 |