Atkin-Lehner |
2- 5+ 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
107440p |
Isogeny class |
Conductor |
107440 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-7948840960 = -1 · 212 · 5 · 173 · 79 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 6 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,459,-2179] |
[a1,a2,a3,a4,a6] |
Generators |
[3164:18003:343] |
Generators of the group modulo torsion |
j |
2605285376/1940635 |
j-invariant |
L |
11.588257473751 |
L(r)(E,1)/r! |
Ω |
0.73559157852976 |
Real period |
R |
5.251219015043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6715d1 |
Quadratic twists by: -4 |