Atkin-Lehner |
2+ 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
9282d |
Isogeny class |
Conductor |
9282 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
58109366952 = 23 · 34 · 74 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1593566,-774953556] |
[a1,a2,a3,a4,a6] |
Generators |
[2183731:41629789:1331] |
Generators of the group modulo torsion |
j |
447542520502832545966057/58109366952 |
j-invariant |
L |
2.5589367634198 |
L(r)(E,1)/r! |
Ω |
0.1343714505421 |
Real period |
R |
9.5218766824956 |
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 |
74256cn4 27846bi4 64974x4 120666bj4 |
Quadratic twists by: -4 -3 -7 13 |