Atkin-Lehner |
3+ 7+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
40887f |
Isogeny class |
Conductor |
40887 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
118019642967625707 = 39 · 76 · 114 · 592 |
Discriminant |
Eigenvalues |
-1 3+ -4 7+ 11- 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16945472,-26844788960] |
[a1,a2,a3,a4,a6] |
Generators |
[40382:998515:8] |
Generators of the group modulo torsion |
j |
27339678691128691040187/5996019050329 |
j-invariant |
L |
2.3416096439933 |
L(r)(E,1)/r! |
Ω |
0.074410829320416 |
Real period |
R |
3.9335834336582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40887c2 |
Quadratic twists by: -3 |