Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51714p |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18304505044722 = 2 · 38 · 136 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42198656,105521136257] |
[a1,a2,a3,a4,a6] |
Generators |
[5003910:137631631:1000] |
Generators of the group modulo torsion |
j |
2361739090258884097/5202 |
j-invariant |
L |
7.0197055445733 |
L(r)(E,1)/r! |
Ω |
0.31816883168283 |
Real period |
R |
11.031416099671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17238f5 306c5 |
Quadratic twists by: -3 13 |