Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21294y |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-38746221696 = -1 · 27 · 39 · 7 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -1 13- 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,846,-428] |
[a1,a2,a3,a4,a6] |
Generators |
[23:164:1] |
Generators of the group modulo torsion |
j |
41781923/24192 |
j-invariant |
L |
3.8269416901669 |
L(r)(E,1)/r! |
Ω |
0.68550557628832 |
Real period |
R |
1.3956639531978 |
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 |
7098t1 21294cu1 |
Quadratic twists by: -3 13 |