Atkin-Lehner |
3+ 7- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
28329b |
Isogeny class |
Conductor |
28329 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
-4844259 = -1 · 33 · 7 · 192 · 71 |
Discriminant |
Eigenvalues |
-1 3+ -1 7- 1 -5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-676,-7048] |
[a1,a2,a3,a4,a6] |
Generators |
[30:13:1] |
Generators of the group modulo torsion |
j |
-34166772214849/4844259 |
j-invariant |
L |
2.1945642541875 |
L(r)(E,1)/r! |
Ω |
0.46814010133073 |
Real period |
R |
2.3439182500594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84987m1 |
Quadratic twists by: -3 |