Atkin-Lehner |
2+ 3- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108528l |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
1532160 |
Modular degree for the optimal curve |
Δ |
-133512799240267776 = -1 · 211 · 37 · 75 · 173 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 -5 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-439472,113359284] |
[a1,a2,a3,a4,a6] |
Generators |
[358:1428:1] [-650:11172:1] |
Generators of the group modulo torsion |
j |
-4583406523507235426/65191796504037 |
j-invariant |
L |
11.455895941828 |
L(r)(E,1)/r! |
Ω |
0.32939399719284 |
Real period |
R |
0.041403217651739 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54264i1 |
Quadratic twists by: -4 |