Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976w |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-1616412672 = -1 · 215 · 35 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -3 -1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,223,-1377] |
[a1,a2,a3,a4,a6] |
Generators |
[7:24:1] |
Generators of the group modulo torsion |
j |
37259704/49329 |
j-invariant |
L |
8.1893812540108 |
L(r)(E,1)/r! |
Ω |
0.80019999982697 |
Real period |
R |
0.51170840138597 |
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 |
38976b1 19488e1 116928cj1 |
Quadratic twists by: -4 8 -3 |