Atkin-Lehner |
2- 3+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
98022p |
Isogeny class |
Conductor |
98022 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
183385219306414056 = 23 · 3 · 172 · 319 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3802697,2852549711] |
[a1,a2,a3,a4,a6] |
Generators |
[356933:-213421252:1] |
Generators of the group modulo torsion |
j |
230008370383/6936 |
j-invariant |
L |
11.014830631948 |
L(r)(E,1)/r! |
Ω |
0.29796630329065 |
Real period |
R |
12.322232980962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98022v2 |
Quadratic twists by: -31 |