Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600d |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-877500000000 = -1 · 28 · 33 · 510 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2092,-26688] |
[a1,a2,a3,a4,a6] |
Generators |
[76:752:1] |
Generators of the group modulo torsion |
j |
253012016/219375 |
j-invariant |
L |
3.8595364683769 |
L(r)(E,1)/r! |
Ω |
0.48898066206535 |
Real period |
R |
3.9465123754333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7800t1 62400gx1 46800o1 3120h1 |
Quadratic twists by: -4 8 -3 5 |