Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800cs |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-5227200 = -1 · 26 · 33 · 52 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- -1 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93,333] |
[a1,a2,a3,a4,a6] |
Generators |
[12:33:1] |
Generators of the group modulo torsion |
j |
-56197120/3267 |
j-invariant |
L |
8.6433988536708 |
L(r)(E,1)/r! |
Ω |
2.3863273721632 |
Real period |
R |
0.60367512539117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800ed1 825a1 52800bs1 |
Quadratic twists by: -4 8 5 |