Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21294cu |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-187020611598248064 = -1 · 27 · 39 · 7 · 139 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 1 13- 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,142942,-511455] |
[a1,a2,a3,a4,a6] |
Generators |
[1817:78183:1] |
Generators of the group modulo torsion |
j |
41781923/24192 |
j-invariant |
L |
7.8348079926032 |
L(r)(E,1)/r! |
Ω |
0.19012503884031 |
Real period |
R |
1.4717397186145 |
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 |
7098g1 21294y1 |
Quadratic twists by: -3 13 |