Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976b |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
4 |
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 |
[1:40:1] |
Generators of the group modulo torsion |
j |
37259704/49329 |
j-invariant |
L |
5.6735333177309 |
L(r)(E,1)/r! |
Ω |
1.0105133650944 |
Real period |
R |
1.403626491669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38976w1 19488c1 116928br1 |
Quadratic twists by: -4 8 -3 |