Atkin-Lehner |
2- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
53428d |
Isogeny class |
Conductor |
53428 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
7.9502566184037E+19 |
Discriminant |
Eigenvalues |
2- 1 2 -3 5 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1183117,-248008337] |
[a1,a2,a3,a4,a6] |
j |
15207071653888/6601149613 |
j-invariant |
L |
2.7107898909121 |
L(r)(E,1)/r! |
Ω |
0.15059943843348 |
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 |
2812a1 |
Quadratic twists by: -19 |