Atkin-Lehner |
2- 3+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
25620d |
Isogeny class |
Conductor |
25620 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
6725250000 = 24 · 32 · 56 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1121,-13530] |
[a1,a2,a3,a4,a6] |
j |
9745585291264/420328125 |
j-invariant |
L |
1.6544427535331 |
L(r)(E,1)/r! |
Ω |
0.82722137676654 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102480bx1 76860r1 128100q1 |
Quadratic twists by: -4 -3 5 |