Atkin-Lehner |
2+ 11+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
128656d |
Isogeny class |
Conductor |
128656 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2442240 |
Modular degree for the optimal curve |
Δ |
-1840067821224993536 = -1 · 28 · 115 · 176 · 432 |
Discriminant |
Eigenvalues |
2+ 3 1 0 11+ 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,219188,51955148] |
[a1,a2,a3,a4,a6] |
Generators |
[33843:1293751:27] |
Generators of the group modulo torsion |
j |
4549189924073954304/7187764926660131 |
j-invariant |
L |
15.540000175411 |
L(r)(E,1)/r! |
Ω |
0.17984927472823 |
Real period |
R |
7.2004739224442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64328f1 |
Quadratic twists by: -4 |