Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9408c |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-588221108782272 = -1 · 26 · 313 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 2 -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-178817,-29068437] |
[a1,a2,a3,a4,a6] |
Generators |
[100675986628443349909778:895583787779459530675783:191549927665097849303] |
Generators of the group modulo torsion |
j |
-1713910976512/1594323 |
j-invariant |
L |
4.3853696268929 |
L(r)(E,1)/r! |
Ω |
0.11607613268718 |
Real period |
R |
37.780114872635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9408cm2 147b2 28224bd2 9408bi2 |
Quadratic twists by: -4 8 -3 -7 |