Atkin-Lehner |
3+ 5- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
38595d |
Isogeny class |
Conductor |
38595 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
240253875 = 32 · 53 · 31 · 832 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1281354000,-17654886936690] |
[a1,a2,a3,a4,a6] |
Generators |
[9445046162774855129603550642:-1687982941829927348814772634173:160881729879560317512984] |
Generators of the group modulo torsion |
j |
232665022585224801082432706976001/240253875 |
j-invariant |
L |
3.4695652752676 |
L(r)(E,1)/r! |
Ω |
0.025233777680423 |
Real period |
R |
45.832287700647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115785h6 |
Quadratic twists by: -3 |