Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
21462bd |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
418 |
Product of Tamagawa factors cp |
deg |
200640 |
Modular degree for the optimal curve |
Δ |
-24251886095302656 = -1 · 219 · 311 · 72 · 732 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 1 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-42162,-8203644] |
[a1,a2,a3,a4,a6] |
Generators |
[372:5070:1] |
Generators of the group modulo torsion |
j |
-169157745236722417/494936450924544 |
j-invariant |
L |
7.8910411179069 |
L(r)(E,1)/r! |
Ω |
0.15415244496153 |
Real period |
R |
0.12246376503163 |
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 |
64386u1 21462v1 |
Quadratic twists by: -3 -7 |