Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49600h |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-155000000 = -1 · 26 · 57 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 4 -6 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,887] |
[a1,a2,a3,a4,a6] |
Generators |
[2:25:1] |
Generators of the group modulo torsion |
j |
-262144/155 |
j-invariant |
L |
3.9338632298768 |
L(r)(E,1)/r! |
Ω |
1.690354097699 |
Real period |
R |
0.58181052645161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49600ce1 775a1 9920i1 |
Quadratic twists by: -4 8 5 |