Atkin-Lehner |
2+ 3+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
92352a |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
240328209613160448 = 215 · 35 · 138 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-421697,102869793] |
[a1,a2,a3,a4,a6] |
Generators |
[1772954388230959525:-2032694693213146508:4171337226859375] |
Generators of the group modulo torsion |
j |
253090789902707336/7334234912511 |
j-invariant |
L |
7.4707451965829 |
L(r)(E,1)/r! |
Ω |
0.31145651964793 |
Real period |
R |
23.986478773624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352r4 46176p3 |
Quadratic twists by: -4 8 |