Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60648bc |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
619741049088 = 28 · 3 · 76 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8708,307584] |
[a1,a2,a3,a4,a6] |
Generators |
[63:114:1] |
Generators of the group modulo torsion |
j |
41593750000/352947 |
j-invariant |
L |
8.5040522190646 |
L(r)(E,1)/r! |
Ω |
0.91845667433711 |
Real period |
R |
2.3147668411441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999207 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296i1 60648b1 |
Quadratic twists by: -4 -19 |