Atkin-Lehner |
2- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400cn |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-9875000000 = -1 · 26 · 59 · 79 |
Discriminant |
Eigenvalues |
2- -1 5- 1 1 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-333,-5213] |
[a1,a2,a3,a4,a6] |
Generators |
[62374:189125:2197] |
Generators of the group modulo torsion |
j |
-32768/79 |
j-invariant |
L |
6.7009717426286 |
L(r)(E,1)/r! |
Ω |
0.52113054907523 |
Real period |
R |
6.4292639953154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999859305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126400bd1 31600v1 126400ck1 |
Quadratic twists by: -4 8 5 |