Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21315b |
Isogeny class |
Conductor |
21315 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
7523065305 = 32 · 5 · 78 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-65293,-6448952] |
[a1,a2,a3,a4,a6] |
Generators |
[54285588:-2321112298:29791] |
Generators of the group modulo torsion |
j |
261665059972681/63945 |
j-invariant |
L |
4.3168345156252 |
L(r)(E,1)/r! |
Ω |
0.29866342357651 |
Real period |
R |
14.453843942224 |
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 |
63945bc1 106575cf1 3045i1 |
Quadratic twists by: -3 5 -7 |