Atkin-Lehner |
2- 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360bu |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
1463135017680 = 24 · 311 · 5 · 74 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156882,23916989] |
[a1,a2,a3,a4,a6] |
Generators |
[2630:133427:1] |
Generators of the group modulo torsion |
j |
36609647981615104/125440245 |
j-invariant |
L |
8.2530253525723 |
L(r)(E,1)/r! |
Ω |
0.74417869162662 |
Real period |
R |
5.5450562020003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016686 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36120d1 |
Quadratic twists by: -3 |