Atkin-Lehner |
3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
29547ba |
Isogeny class |
Conductor |
29547 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-7179921 = -1 · 37 · 72 · 67 |
Discriminant |
Eigenvalues |
-1 3- -3 7- -2 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104,452] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-8:1] [-3:28:1] |
Generators of the group modulo torsion |
j |
-3451273/201 |
j-invariant |
L |
4.6933241775333 |
L(r)(E,1)/r! |
Ω |
2.3239590845193 |
Real period |
R |
1.0097691066933 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9849o1 29547j1 |
Quadratic twists by: -3 -7 |