Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200w |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-12225935904000000 = -1 · 211 · 3 · 56 · 73 · 135 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 5 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-257808,50750112] |
[a1,a2,a3,a4,a6] |
Generators |
[116:4732:1] |
Generators of the group modulo torsion |
j |
-59219479733906/382060497 |
j-invariant |
L |
6.9024234620855 |
L(r)(E,1)/r! |
Ω |
0.40300697467621 |
Real period |
R |
0.28545508663036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54600cg1 4368g1 |
Quadratic twists by: -4 5 |