Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
29328v |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-961019904 = -1 · 219 · 3 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 2 13- 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-696,6996] |
[a1,a2,a3,a4,a6] |
Generators |
[38:192:1] |
Generators of the group modulo torsion |
j |
-9116230969/234624 |
j-invariant |
L |
6.4635903071268 |
L(r)(E,1)/r! |
Ω |
1.5635246333631 |
Real period |
R |
1.0334967178009 |
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 |
3666b1 117312bs1 87984bm1 |
Quadratic twists by: -4 8 -3 |