Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800bh |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1478412000000 = -1 · 28 · 37 · 56 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2625,-27250] |
[a1,a2,a3,a4,a6] |
Generators |
[49:468:1] |
Generators of the group modulo torsion |
j |
686000/507 |
j-invariant |
L |
4.1005311594492 |
L(r)(E,1)/r! |
Ω |
0.47636085245553 |
Real period |
R |
1.0760044455558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23400t2 15600j2 1872d2 |
Quadratic twists by: -4 -3 5 |