Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280bp |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
135914526720 = 211 · 38 · 5 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-431600,-108992820] |
[a1,a2,a3,a4,a6] |
Generators |
[2537:122958:1] |
Generators of the group modulo torsion |
j |
4341492689834008802/66364515 |
j-invariant |
L |
4.3069704022611 |
L(r)(E,1)/r! |
Ω |
0.18626408023327 |
Real period |
R |
5.7807313101742 |
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 |
28560bs6 114240dw6 42840s6 71400be6 |
Quadratic twists by: -4 8 -3 5 |