Atkin-Lehner |
2- 3- 41- 73- |
Signs for the Atkin-Lehner involutions |
Class |
53874k |
Isogeny class |
Conductor |
53874 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
1013395263427260612 = 22 · 318 · 412 · 733 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-252275,5786255] |
[a1,a2,a3,a4,a6] |
Generators |
[-354:33023:8] |
Generators of the group modulo torsion |
j |
2435663087443419625/1390116959433828 |
j-invariant |
L |
10.576147810454 |
L(r)(E,1)/r! |
Ω |
0.23785887149575 |
Real period |
R |
3.7053301620706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17958g1 |
Quadratic twists by: -3 |