Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600bf |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6823440000000000 = -1 · 213 · 38 · 510 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,38592,2685312] |
[a1,a2,a3,a4,a6] |
Generators |
[666:17982:1] |
Generators of the group modulo torsion |
j |
99317171591/106616250 |
j-invariant |
L |
4.2165555715543 |
L(r)(E,1)/r! |
Ω |
0.27894329158377 |
Real period |
R |
3.7790437149552 |
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 |
1950w4 62400gc3 46800dq3 3120u4 |
Quadratic twists by: -4 8 -3 5 |