Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
112632j |
Isogeny class |
Conductor |
112632 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-2177878646846862336 = -1 · 210 · 3 · 133 · 199 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 -2 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-953160,364828512] |
[a1,a2,a3,a4,a6] |
j |
-1987925163844/45207669 |
j-invariant |
L |
3.1205706920155 |
L(r)(E,1)/r! |
Ω |
0.26004764960798 |
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 |
5928k1 |
Quadratic twists by: -19 |