Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408cc |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-4999796928 = -1 · 26 · 313 · 72 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3649,-83705] |
[a1,a2,a3,a4,a6] |
Generators |
[156546:250333:2197] |
Generators of the group modulo torsion |
j |
-1713910976512/1594323 |
j-invariant |
L |
3.0070522288987 |
L(r)(E,1)/r! |
Ω |
0.30710858024041 |
Real period |
R |
9.7914953289314 |
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 |
9408bi2 2352u2 28224fq2 9408cm2 |
Quadratic twists by: -4 8 -3 -7 |