Atkin-Lehner |
2- 3- 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23370u |
Isogeny class |
Conductor |
23370 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-16432376218122240 = -1 · 211 · 36 · 5 · 19 · 415 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 1 3 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-714180,-232446960] |
[a1,a2,a3,a4,a6] |
j |
-40285318546938465414721/16432376218122240 |
j-invariant |
L |
5.4193967208649 |
L(r)(E,1)/r! |
Ω |
0.082112071528256 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70110h1 116850a1 |
Quadratic twists by: -3 5 |