Atkin-Lehner |
2+ 3+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610k |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-2828703515625000 = -1 · 23 · 34 · 511 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -1 13+ -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5743,-2551011] |
[a1,a2,a3,a4,a6] |
Generators |
[373:7001:1] [173:1826:1] |
Generators of the group modulo torsion |
j |
123918255921551/16737890625000 |
j-invariant |
L |
8.2692474273208 |
L(r)(E,1)/r! |
Ω |
0.21420833431504 |
Real period |
R |
0.87735821394604 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999995904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610bn1 |
Quadratic twists by: 13 |