Atkin-Lehner |
2- 3- 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56826bf |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-61899879888 = -1 · 24 · 36 · 7 · 11 · 413 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1040,-17341] |
[a1,a2,a3,a4,a6] |
Generators |
[141:1549:1] |
Generators of the group modulo torsion |
j |
-170492253625/84910672 |
j-invariant |
L |
10.798791049669 |
L(r)(E,1)/r! |
Ω |
0.41067573896589 |
Real period |
R |
3.2868970652949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6314d1 |
Quadratic twists by: -3 |