Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408bm |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
277620998041239552 = 220 · 38 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-431265,-106164801] |
[a1,a2,a3,a4,a6] |
Generators |
[-381:1728:1] |
Generators of the group modulo torsion |
j |
838561807/26244 |
j-invariant |
L |
4.0244360390749 |
L(r)(E,1)/r! |
Ω |
0.1866575599339 |
Real period |
R |
1.3475331646426 |
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 |
9408ch2 294f2 28224ct2 9408s2 |
Quadratic twists by: -4 8 -3 -7 |