Atkin-Lehner |
2- 3+ 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36708f |
Isogeny class |
Conductor |
36708 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-750212848896 = -1 · 28 · 3 · 76 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1804,-50456] |
[a1,a2,a3,a4,a6] |
Generators |
[585:14098:1] |
Generators of the group modulo torsion |
j |
-2537663679952/2930518941 |
j-invariant |
L |
3.4949544268493 |
L(r)(E,1)/r! |
Ω |
0.35059474273475 |
Real period |
R |
3.3228815693659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110124p2 |
Quadratic twists by: -3 |