Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45600d |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
78192600000000 = 29 · 3 · 58 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23008,-1266488] |
[a1,a2,a3,a4,a6] |
Generators |
[1626:12425:8] |
Generators of the group modulo torsion |
j |
168379496648/9774075 |
j-invariant |
L |
4.236723339914 |
L(r)(E,1)/r! |
Ω |
0.38904489704792 |
Real period |
R |
5.4450313730664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600bv3 91200ec4 9120q2 |
Quadratic twists by: -4 8 5 |