Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12900b |
Isogeny class |
Conductor |
12900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-24187500000000 = -1 · 28 · 32 · 512 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -5 3 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6867,-91863] |
[a1,a2,a3,a4,a6] |
j |
8951619584/6046875 |
j-invariant |
L |
1.5288013637077 |
L(r)(E,1)/r! |
Ω |
0.38220034092692 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51600dc1 38700c1 2580a1 |
Quadratic twists by: -4 -3 5 |