Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
84960f |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
815616000 = 212 · 33 · 53 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 3 -7 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-312,1616] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:60:1] |
Generators of the group modulo torsion |
j |
30371328/7375 |
j-invariant |
L |
8.5972035660649 |
L(r)(E,1)/r! |
Ω |
1.4913388876702 |
Real period |
R |
0.48039626416161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003765 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84960c1 84960y1 |
Quadratic twists by: -4 -3 |