Atkin-Lehner |
2+ 3- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184be |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
-2096436722688 = -1 · 210 · 35 · 74 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,912,69156] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:252:1] |
Generators of the group modulo torsion |
j |
81833661500/2047301487 |
j-invariant |
L |
8.7128445056249 |
L(r)(E,1)/r! |
Ω |
0.61963416906344 |
Real period |
R |
0.35153179587008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018698 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53592a1 |
Quadratic twists by: -4 |