Atkin-Lehner |
2+ 3- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648c |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
12350216448 = 28 · 310 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2559,-49538] |
[a1,a2,a3,a4,a6] |
Generators |
[69:320:1] |
Generators of the group modulo torsion |
j |
9930407632/66177 |
j-invariant |
L |
5.2291623962395 |
L(r)(E,1)/r! |
Ω |
0.67151600895222 |
Real period |
R |
3.8935500398281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58824j1 39216e1 |
Quadratic twists by: -4 -3 |