Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200bw |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
55873616691200 = 214 · 52 · 7 · 117 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11+ 7 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-401093,-97905437] |
[a1,a2,a3,a4,a6] |
j |
17422083655275520/136410197 |
j-invariant |
L |
1.7073805052232 |
L(r)(E,1)/r! |
Ω |
0.18970920226749 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200eu1 15400g1 123200cq1 |
Quadratic twists by: -4 8 5 |