Atkin-Lehner |
2+ 3+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
2424d |
Isogeny class |
Conductor |
2424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
232704 = 28 · 32 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -4 -2 -7 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17,21] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:6:1] [-1:6:1] |
Generators of the group modulo torsion |
j |
2249728/909 |
j-invariant |
L |
2.7798572889803 |
L(r)(E,1)/r! |
Ω |
2.8454834027288 |
Real period |
R |
0.12211709293025 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4848g1 19392p1 7272h1 60600bl1 |
Quadratic twists by: -4 8 -3 5 |