Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200bz |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
7372385748000000 = 28 · 310 · 56 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4159708,-3266829412] |
[a1,a2,a3,a4,a6] |
j |
1989996724085074000/1843096437 |
j-invariant |
L |
4.2285730443382 |
L(r)(E,1)/r! |
Ω |
0.10571432929527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600bn2 4368a2 |
Quadratic twists by: -4 5 |