Atkin-Lehner |
2+ 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36550m |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-25947886675000000 = -1 · 26 · 58 · 176 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -3 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24201,-7886452] |
[a1,a2,a3,a4,a6] |
Generators |
[2454:28247:8] |
Generators of the group modulo torsion |
j |
-4012710383785/66426589888 |
j-invariant |
L |
2.0987407326662 |
L(r)(E,1)/r! |
Ω |
0.1616936434489 |
Real period |
R |
3.244933888403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36550v2 |
Quadratic twists by: 5 |