Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29792d |
Isogeny class |
Conductor |
29792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-16831005236416 = -1 · 26 · 712 · 19 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4361,-226380] |
[a1,a2,a3,a4,a6] |
Generators |
[4791:57826:27] |
Generators of the group modulo torsion |
j |
-1218186432/2235331 |
j-invariant |
L |
4.0175863198503 |
L(r)(E,1)/r! |
Ω |
0.27689286572376 |
Real period |
R |
7.254766765747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29792i1 59584q2 4256a1 |
Quadratic twists by: -4 8 -7 |