Atkin-Lehner |
3+ 5- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
38595d |
Isogeny class |
Conductor |
38595 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.3979303105713E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5006500,-4310040940] |
[a1,a2,a3,a4,a6] |
Generators |
[828585318:20338705793:287496] |
Generators of the group modulo torsion |
j |
13877983891300900752936001/13979303105712890625 |
j-invariant |
L |
3.4695652752676 |
L(r)(E,1)/r! |
Ω |
0.10093511072169 |
Real period |
R |
11.458071925162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999932 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
115785h2 |
Quadratic twists by: -3 |