Atkin-Lehner |
2- 3+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7410q |
Isogeny class |
Conductor |
7410 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
67231677478118400 = 210 · 316 · 52 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-909980,-334261123] |
[a1,a2,a3,a4,a6] |
j |
83333435002229316265921/67231677478118400 |
j-invariant |
L |
1.5458331767073 |
L(r)(E,1)/r! |
Ω |
0.15458331767073 |
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 |
59280cl2 22230p2 37050bb2 96330n2 |
Quadratic twists by: -4 -3 5 13 |