Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
29304s |
Isogeny class |
Conductor |
29304 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1721527772976 = -1 · 24 · 310 · 113 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2994,-2995] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-407:1] |
Generators of the group modulo torsion |
j |
254467069952/147593259 |
j-invariant |
L |
3.6451674925656 |
L(r)(E,1)/r! |
Ω |
0.49807931181557 |
Real period |
R |
0.60987065816191 |
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 |
58608i1 9768b1 |
Quadratic twists by: -4 -3 |