Atkin-Lehner |
2+ 3+ 11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48906c |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-3227796 = -1 · 22 · 33 · 112 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 11+ 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,24,68] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:4:1] [2:-12:1] |
Generators of the group modulo torsion |
j |
55306341/119548 |
j-invariant |
L |
5.8853632128355 |
L(r)(E,1)/r! |
Ω |
1.747033726173 |
Real period |
R |
0.42109685152803 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48906y1 |
Quadratic twists by: -3 |