Atkin-Lehner |
2+ 3+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
64890d |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-3338590500000 = -1 · 25 · 33 · 56 · 74 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 5 -4 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3345,45901] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-454:1] |
Generators of the group modulo torsion |
j |
153276396139413/123651500000 |
j-invariant |
L |
4.5116906932123 |
L(r)(E,1)/r! |
Ω |
0.51216204683023 |
Real period |
R |
0.55056923891981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64890bx1 |
Quadratic twists by: -3 |