Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
44100bc |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1701319788000000 = -1 · 28 · 311 · 56 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 3 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29400,416500] |
[a1,a2,a3,a4,a6] |
Generators |
[245:4725:1] |
Generators of the group modulo torsion |
j |
401408/243 |
j-invariant |
L |
6.5085365696554 |
L(r)(E,1)/r! |
Ω |
0.29018998131356 |
Real period |
R |
1.8690447031153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700z1 1764d1 44100bs1 |
Quadratic twists by: -3 5 -7 |