Atkin-Lehner |
2+ 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498x |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-2.5684387957187E+20 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -3 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-756765,811824957] |
[a1,a2,a3,a4,a6] |
Generators |
[-591:32736:1] [-57:29265:1] |
Generators of the group modulo torsion |
j |
-232755107809/1247272344 |
j-invariant |
L |
7.608755414579 |
L(r)(E,1)/r! |
Ω |
0.15140510789213 |
Real period |
R |
6.281785602027 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26166u1 78498k1 |
Quadratic twists by: -3 -7 |