Atkin-Lehner |
2- 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
11928h |
Isogeny class |
Conductor |
11928 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-3053568 = -1 · 211 · 3 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -2 4 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,0,-84] |
[a1,a2,a3,a4,a6] |
Generators |
[5:4:1] |
Generators of the group modulo torsion |
j |
-2/1491 |
j-invariant |
L |
2.3871861872217 |
L(r)(E,1)/r! |
Ω |
1.1582816221573 |
Real period |
R |
2.0609721690789 |
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 |
23856l1 95424x1 35784j1 83496y1 |
Quadratic twists by: -4 8 -3 -7 |