Atkin-Lehner |
2+ 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200k |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7452900000000 = 28 · 32 · 58 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4908,-14688] |
[a1,a2,a3,a4,a6] |
j |
3269383504/1863225 |
j-invariant |
L |
2.4677751234605 |
L(r)(E,1)/r! |
Ω |
0.61694387506647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54600bc2 21840p2 |
Quadratic twists by: -4 5 |