Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200dn |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-176619520000 = -1 · 219 · 54 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11- -3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5900,175600] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:560:1] [30:160:1] |
Generators of the group modulo torsion |
j |
-138630825/1078 |
j-invariant |
L |
11.823308596156 |
L(r)(E,1)/r! |
Ω |
1.0199751698149 |
Real period |
R |
0.48299004992306 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200gp1 3850l1 123200n1 |
Quadratic twists by: -4 8 5 |