Atkin-Lehner |
2- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28798p |
Isogeny class |
Conductor |
28798 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-3519793404472576 = -1 · 28 · 73 · 119 · 17 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 11+ -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22932,-3153776] |
[a1,a2,a3,a4,a6] |
Generators |
[252:2536:1] |
Generators of the group modulo torsion |
j |
-565609283/1492736 |
j-invariant |
L |
3.6067386052909 |
L(r)(E,1)/r! |
Ω |
0.18028255963328 |
Real period |
R |
1.2503769820509 |
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 |
28798g1 |
Quadratic twists by: -11 |