Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
36600t |
Isogeny class |
Conductor |
36600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
494100000000 = 28 · 34 · 58 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8508,303012] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-100:1] [-24:702:1] |
Generators of the group modulo torsion |
j |
17029316176/123525 |
j-invariant |
L |
7.1215278488716 |
L(r)(E,1)/r! |
Ω |
0.93622690322366 |
Real period |
R |
0.95082824264471 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73200v2 109800n2 7320f2 |
Quadratic twists by: -4 -3 5 |