Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10920i |
Isogeny class |
Conductor |
10920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
19192992000 = 28 · 3 · 53 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1100,12000] |
[a1,a2,a3,a4,a6] |
j |
575514878416/74972625 |
j-invariant |
L |
3.5287084875975 |
L(r)(E,1)/r! |
Ω |
1.1762361625325 |
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 |
21840f1 87360s1 32760bh1 54600bo1 |
Quadratic twists by: -4 8 -3 5 |