Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
44100s |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-6482700000000 = -1 · 28 · 33 · 58 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,122500] |
[a1,a2,a3,a4,a6] |
Generators |
[56:546:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
6.5658712298416 |
L(r)(E,1)/r! |
Ω |
0.59690194440556 |
Real period |
R |
1.8333193280683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44100s2 44100a1 44100v1 |
Quadratic twists by: -3 5 -7 |