Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600cs |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-8.6103879419981E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9038367,-9479995137] |
[a1,a2,a3,a4,a6] |
Generators |
[2178:143325:1] |
Generators of the group modulo torsion |
j |
79743193254623804/84085819746075 |
j-invariant |
L |
7.7384204381644 |
L(r)(E,1)/r! |
Ω |
0.058360534374155 |
Real period |
R |
2.2099467620112 |
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 |
33600ee3 4200r4 100800en3 6720i4 |
Quadratic twists by: -4 8 -3 5 |