Atkin-Lehner |
2- 3+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
72624q |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
60916052089110528 = 218 · 312 · 173 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114648,-9030672] |
[a1,a2,a3,a4,a6] |
Generators |
[6477:520506:1] |
Generators of the group modulo torsion |
j |
40688061681633625/14872083029568 |
j-invariant |
L |
5.8061100468293 |
L(r)(E,1)/r! |
Ω |
0.26739575315373 |
Real period |
R |
3.6189243712014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9078c1 |
Quadratic twists by: -4 |