Atkin-Lehner |
2+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
79210a |
Isogeny class |
Conductor |
79210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
4423133489552900 = 22 · 52 · 897 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 4 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41090,-188000] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:494:1] |
Generators of the group modulo torsion |
j |
15438249/8900 |
j-invariant |
L |
3.8666372117271 |
L(r)(E,1)/r! |
Ω |
0.36541959261371 |
Real period |
R |
5.2906812965458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
890a1 |
Quadratic twists by: 89 |