Atkin-Lehner |
2- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81862i |
Isogeny class |
Conductor |
81862 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-115261696 = -1 · 28 · 112 · 612 |
Discriminant |
Eigenvalues |
2- 2 1 -4 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,75,-421] |
[a1,a2,a3,a4,a6] |
Generators |
[9:28:1] |
Generators of the group modulo torsion |
j |
12528119/30976 |
j-invariant |
L |
14.796304924816 |
L(r)(E,1)/r! |
Ω |
0.96552848681955 |
Real period |
R |
0.95778536843511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81862c1 |
Quadratic twists by: 61 |