Atkin-Lehner |
2+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24304c |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-52285097984 = -1 · 211 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- -4 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,10996] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:76:1] [30:196:1] |
Generators of the group modulo torsion |
j |
-2/217 |
j-invariant |
L |
8.2363153082051 |
L(r)(E,1)/r! |
Ω |
0.89499084086795 |
Real period |
R |
0.57516756960729 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12152g1 97216bp1 3472c1 |
Quadratic twists by: -4 8 -7 |