Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10920c |
Isogeny class |
Conductor |
10920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-128548662606000 = -1 · 24 · 38 · 53 · 73 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9729,398196] |
[a1,a2,a3,a4,a6] |
j |
6364491337435136/8034291412875 |
j-invariant |
L |
2.3596450993089 |
L(r)(E,1)/r! |
Ω |
0.39327418321815 |
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 |
21840l1 87360dt1 32760bp1 54600ce1 |
Quadratic twists by: -4 8 -3 5 |