Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
62928bj |
Isogeny class |
Conductor |
62928 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-677148574464 = -1 · 28 · 36 · 193 · 232 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -1 -2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288,-39636] |
[a1,a2,a3,a4,a6] |
Generators |
[94:-874:1] |
Generators of the group modulo torsion |
j |
-14155776/3628411 |
j-invariant |
L |
5.2533772619417 |
L(r)(E,1)/r! |
Ω |
0.40542603097387 |
Real period |
R |
0.53990297246508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000459 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15732a1 6992m1 |
Quadratic twists by: -4 -3 |