Atkin-Lehner |
2- 3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
64890cc |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
110976 |
Modular degree for the optimal curve |
Δ |
-2411241799680 = -1 · 217 · 36 · 5 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 3 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2858,-94359] |
[a1,a2,a3,a4,a6] |
Generators |
[113:-1065:1] |
Generators of the group modulo torsion |
j |
-3540302642521/3307601920 |
j-invariant |
L |
10.120786103417 |
L(r)(E,1)/r! |
Ω |
0.31441258450669 |
Real period |
R |
0.47337510357769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7210b1 |
Quadratic twists by: -3 |