Atkin-Lehner |
2+ 3- 41- 73- |
Signs for the Atkin-Lehner involutions |
Class |
53874d |
Isogeny class |
Conductor |
53874 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
2234262528 = 210 · 36 · 41 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -4 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-657,6237] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:119:1] [-18:711:8] |
Generators of the group modulo torsion |
j |
43059012625/3064832 |
j-invariant |
L |
7.0973787009678 |
L(r)(E,1)/r! |
Ω |
1.4312901366228 |
Real period |
R |
4.9587281567627 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5986b1 |
Quadratic twists by: -3 |