Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21070n |
Isogeny class |
Conductor |
21070 |
Conductor |
∏ cp |
152 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-464156740812800 = -1 · 219 · 52 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -1 -2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1226,1036580] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:1006:1] |
Generators of the group modulo torsion |
j |
-1732323601/3945267200 |
j-invariant |
L |
8.3767473878382 |
L(r)(E,1)/r! |
Ω |
0.42327468206215 |
Real period |
R |
0.13019956666119 |
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 |
105350o1 3010h1 |
Quadratic twists by: 5 -7 |