Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300p |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-527076000000 = -1 · 28 · 32 · 56 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1102108,-444965288] |
[a1,a2,a3,a4,a6] |
Generators |
[4501:292848:1] |
Generators of the group modulo torsion |
j |
-2527934627152/9 |
j-invariant |
L |
3.5314910828027 |
L(r)(E,1)/r! |
Ω |
0.073673870669173 |
Real period |
R |
7.9890175687462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900cj2 1452e2 36300m2 |
Quadratic twists by: -3 5 -11 |