Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49284k |
Isogeny class |
Conductor |
49284 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
89690118605224272 = 24 · 310 · 377 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-114996,-4204199] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:1701:1] |
Generators of the group modulo torsion |
j |
5619712/2997 |
j-invariant |
L |
5.2578261112877 |
L(r)(E,1)/r! |
Ω |
0.2755612172751 |
Real period |
R |
3.1800714213388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999473 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16428d1 1332d1 |
Quadratic twists by: -3 37 |