Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408ce |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
212513624064 = 212 · 32 · 78 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2809,-51911] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:48:1] |
Generators of the group modulo torsion |
j |
5088448/441 |
j-invariant |
L |
2.6540494579711 |
L(r)(E,1)/r! |
Ω |
0.65938992101227 |
Real period |
R |
2.0125038110203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9408da2 4704bd1 28224fu2 1344s2 |
Quadratic twists by: -4 8 -3 -7 |