Atkin-Lehner |
2- 3+ 11- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28842o |
Isogeny class |
Conductor |
28842 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-958842145095538176 = -1 · 29 · 37 · 115 · 19 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 11- 4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-419475,-114867567] |
[a1,a2,a3,a4,a6] |
Generators |
[1011:21758:1] |
Generators of the group modulo torsion |
j |
-8162853928086765524401/958842145095538176 |
j-invariant |
L |
7.8785048310503 |
L(r)(E,1)/r! |
Ω |
0.093183129074595 |
Real period |
R |
0.46971454723928 |
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 |
86526h1 |
Quadratic twists by: -3 |