Atkin-Lehner |
2- 3- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
12444a |
Isogeny class |
Conductor |
12444 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-56144285763353856 = -1 · 28 · 316 · 174 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 -3 1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-230660,-44213628] |
[a1,a2,a3,a4,a6] |
Generators |
[1816:74358:1] |
Generators of the group modulo torsion |
j |
-5301545496022866256/219313616263101 |
j-invariant |
L |
5.6878671267071 |
L(r)(E,1)/r! |
Ω |
0.10866146234223 |
Real period |
R |
0.27262938776121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49776h1 37332a1 |
Quadratic twists by: -4 -3 |