Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77400bd |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-705307500000000 = -1 · 28 · 38 · 510 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 1 5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24375,-1943750] |
[a1,a2,a3,a4,a6] |
Generators |
[429:8158:1] |
Generators of the group modulo torsion |
j |
-878800/387 |
j-invariant |
L |
8.0748107205039 |
L(r)(E,1)/r! |
Ω |
0.18704718048325 |
Real period |
R |
5.3962392673877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988621 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25800j1 77400u1 |
Quadratic twists by: -3 5 |