Atkin-Lehner |
2- 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
30438s |
Isogeny class |
Conductor |
30438 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-2840230656 = -1 · 28 · 38 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -5 1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-824,9659] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-59:1] [-27:121:1] |
Generators of the group modulo torsion |
j |
-84778086457/3896064 |
j-invariant |
L |
9.7547785644204 |
L(r)(E,1)/r! |
Ω |
1.4175178362097 |
Real period |
R |
0.21504973154571 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10146h1 |
Quadratic twists by: -3 |