Atkin-Lehner |
2- 3+ 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21318n |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-389238071244 = -1 · 22 · 3 · 114 · 17 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,178,-29929] |
[a1,a2,a3,a4,a6] |
Generators |
[85:737:1] |
Generators of the group modulo torsion |
j |
623492479007/389238071244 |
j-invariant |
L |
7.6685279724507 |
L(r)(E,1)/r! |
Ω |
0.44388365136078 |
Real period |
R |
4.3189966272366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63954h3 |
Quadratic twists by: -3 |