Atkin-Lehner |
2+ 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
55776a |
Isogeny class |
Conductor |
55776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-13445356313088 = -1 · 29 · 38 · 7 · 833 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 1 -2 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7728,318024] |
[a1,a2,a3,a4,a6] |
Generators |
[138:3483:8] |
Generators of the group modulo torsion |
j |
-99703702853000/26260461549 |
j-invariant |
L |
4.9447452011127 |
L(r)(E,1)/r! |
Ω |
0.67239541836159 |
Real period |
R |
3.6769622948532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55776s1 111552bh1 |
Quadratic twists by: -4 8 |