Atkin-Lehner |
2+ 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38376b |
Isogeny class |
Conductor |
38376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9472 |
Modular degree for the optimal curve |
Δ |
-47893248 = -1 · 28 · 33 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -5 13- 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-276,1796] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-26:1] [-14:54:1] |
Generators of the group modulo torsion |
j |
-336393216/6929 |
j-invariant |
L |
7.5036287353032 |
L(r)(E,1)/r! |
Ω |
2.0118951120457 |
Real period |
R |
0.23310201071045 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76752c1 38376p1 |
Quadratic twists by: -4 -3 |