Atkin-Lehner |
2+ 5- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55760i |
Isogeny class |
Conductor |
55760 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1142784 |
Modular degree for the optimal curve |
Δ |
856090250000000000 = 210 · 512 · 174 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 6 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1183120,-492927600] |
[a1,a2,a3,a4,a6] |
Generators |
[10590:1083750:1] |
Generators of the group modulo torsion |
j |
178858881423430931524/836025634765625 |
j-invariant |
L |
10.474221155595 |
L(r)(E,1)/r! |
Ω |
0.14479864117347 |
Real period |
R |
1.5070095891102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27880f1 |
Quadratic twists by: -4 |