Atkin-Lehner |
2+ 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200z |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
63882000000000 = 210 · 33 · 59 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12208,352912] |
[a1,a2,a3,a4,a6] |
j |
100615028/31941 |
j-invariant |
L |
2.2963984927636 |
L(r)(E,1)/r! |
Ω |
0.57409953238414 |
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 |
54600bg1 109200cm1 |
Quadratic twists by: -4 5 |