Atkin-Lehner |
2- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38870bb |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
474240 |
Modular degree for the optimal curve |
Δ |
-1131207855725608960 = -1 · 219 · 5 · 138 · 232 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 3 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3799,51173143] |
[a1,a2,a3,a4,a6] |
Generators |
[239:7992:1] |
Generators of the group modulo torsion |
j |
7433231/1386741760 |
j-invariant |
L |
12.120023288625 |
L(r)(E,1)/r! |
Ω |
0.21770016265741 |
Real period |
R |
0.48835973506901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38870r1 |
Quadratic twists by: 13 |