Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
84960i |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
-550540800 = -1 · 29 · 36 · 52 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 -1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7443,-247158] |
[a1,a2,a3,a4,a6] |
Generators |
[10578:383805:8] |
Generators of the group modulo torsion |
j |
-122171605128/1475 |
j-invariant |
L |
6.8948143058121 |
L(r)(E,1)/r! |
Ω |
0.25699947708107 |
Real period |
R |
6.7070314566347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84960g1 9440e1 |
Quadratic twists by: -4 -3 |