Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51714d |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1237860458154369972 = 22 · 310 · 137 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-504243,127124401] |
[a1,a2,a3,a4,a6] |
Generators |
[-640:14009:1] [-986:110005:8] |
Generators of the group modulo torsion |
j |
4029546653497/351790452 |
j-invariant |
L |
6.7116677916795 |
L(r)(E,1)/r! |
Ω |
0.26600530330761 |
Real period |
R |
1.5769581725026 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17238l3 3978j4 |
Quadratic twists by: -3 13 |