Atkin-Lehner |
2+ 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
93024u |
Isogeny class |
Conductor |
93024 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
29872300557888 = 26 · 36 · 173 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 0 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12573,-474660] |
[a1,a2,a3,a4,a6] |
j |
4711215351744/640267073 |
j-invariant |
L |
5.4590076798325 |
L(r)(E,1)/r! |
Ω |
0.45491731066737 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93024bg1 10336i1 |
Quadratic twists by: -4 -3 |