Atkin-Lehner |
2+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
28480k |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-58327040 = -1 · 217 · 5 · 89 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 -1 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,95,-65] |
[a1,a2,a3,a4,a6] |
Generators |
[3:16:1] [138:1631:1] |
Generators of the group modulo torsion |
j |
715822/445 |
j-invariant |
L |
9.0975866103735 |
L(r)(E,1)/r! |
Ω |
1.1412482177335 |
Real period |
R |
1.9929026983371 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28480bl1 3560b1 |
Quadratic twists by: -4 8 |