Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325r |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1842819529482421875 = 310 · 510 · 74 · 113 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-129378942,-566394078659] |
[a1,a2,a3,a4,a6] |
Generators |
[-2064790284:1013443363:314432] |
Generators of the group modulo torsion |
j |
21026497979043461623321/161783881875 |
j-invariant |
L |
5.2490480021856 |
L(r)(E,1)/r! |
Ω |
0.044764491538133 |
Real period |
R |
9.7715991362523 |
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 |
5775d3 3465l3 121275ek4 |
Quadratic twists by: -3 5 -7 |