Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712df |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
9226654728192 = 214 · 311 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31260,2122288] |
[a1,a2,a3,a4,a6] |
Generators |
[26:1152:1] |
Generators of the group modulo torsion |
j |
282841522000/772497 |
j-invariant |
L |
7.0003775167567 |
L(r)(E,1)/r! |
Ω |
0.73206548080017 |
Real period |
R |
2.3906254590345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712bu1 26928q1 35904cz1 |
Quadratic twists by: -4 8 -3 |