Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43560g |
Isogeny class |
Conductor |
43560 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-1152715212000000 = -1 · 28 · 39 · 56 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 11- -6 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13068,-1528956] |
[a1,a2,a3,a4,a6] |
Generators |
[198:-2970:1] |
Generators of the group modulo torsion |
j |
3345408/15625 |
j-invariant |
L |
6.9755023023106 |
L(r)(E,1)/r! |
Ω |
0.24607631340534 |
Real period |
R |
0.19685351889475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87120l1 43560bi1 43560bl1 |
Quadratic twists by: -4 -3 -11 |