Atkin-Lehner |
3- 7+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42021f |
Isogeny class |
Conductor |
42021 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-690951303 = -1 · 36 · 72 · 23 · 292 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 2 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,124,-1178] |
[a1,a2,a3,a4,a6] |
Generators |
[10:26:1] |
Generators of the group modulo torsion |
j |
291434247/947807 |
j-invariant |
L |
2.8120357546419 |
L(r)(E,1)/r! |
Ω |
0.82248770854096 |
Real period |
R |
0.85473488705075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4669a1 |
Quadratic twists by: -3 |