Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600bh |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-2246400000000 = -1 · 214 · 33 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 13- -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1592,67312] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:250:1] |
Generators of the group modulo torsion |
j |
6967871/35100 |
j-invariant |
L |
4.1541368784081 |
L(r)(E,1)/r! |
Ω |
0.59046171810345 |
Real period |
R |
1.7588510613995 |
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 |
1950i1 62400gk1 46800dz1 3120v1 |
Quadratic twists by: -4 8 -3 5 |