Atkin-Lehner |
2+ 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240d |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9205641446400 = 210 · 34 · 52 · 74 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50576,-4358640] |
[a1,a2,a3,a4,a6] |
j |
13972231668773956/8989884225 |
j-invariant |
L |
2.5469444981198 |
L(r)(E,1)/r! |
Ω |
0.31836806077708 |
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 |
36120l2 |
Quadratic twists by: -4 |