Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
83300bl |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-198783259869670000 = -1 · 24 · 54 · 77 · 176 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -3 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,144142,-4106563] |
[a1,a2,a3,a4,a6] |
Generators |
[3547:212415:1] |
Generators of the group modulo torsion |
j |
281516652800/168962983 |
j-invariant |
L |
9.5100301218632 |
L(r)(E,1)/r! |
Ω |
0.1850533527032 |
Real period |
R |
1.4275207630183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83300o2 11900i2 |
Quadratic twists by: 5 -7 |