Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200u |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1532160 |
Modular degree for the optimal curve |
Δ |
-1.83860574138E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 0 -2 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5269208,-4658310588] |
[a1,a2,a3,a4,a6] |
Generators |
[1290920:127614902:125] |
Generators of the group modulo torsion |
j |
-80896517556407240/91930287069 |
j-invariant |
L |
5.1681390680027 |
L(r)(E,1)/r! |
Ω |
0.049819988852441 |
Real period |
R |
7.4097325003782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55200cr1 110400ff1 55200cg1 |
Quadratic twists by: -4 8 5 |