Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200eu |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
7 |
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] |
Generators |
[316:1617:1] |
Generators of the group modulo torsion |
j |
17422083655275520/136410197 |
j-invariant |
L |
11.511467131296 |
L(r)(E,1)/r! |
Ω |
0.56356530761994 |
Real period |
R |
2.9180208390489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999554329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200bw1 30800d1 123200hy1 |
Quadratic twists by: -4 8 5 |