Atkin-Lehner |
2+ 3- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
102306l |
Isogeny class |
Conductor |
102306 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
615218358672 = 24 · 33 · 176 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9977,-382516] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:70:1] |
Generators of the group modulo torsion |
j |
4549540393/25488 |
j-invariant |
L |
2.9951847645757 |
L(r)(E,1)/r! |
Ω |
0.47786066178386 |
Real period |
R |
2.089301347891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999675091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
354d1 |
Quadratic twists by: 17 |