Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280cj |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1186124869560960000 = 210 · 38 · 54 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264747,-1852886] |
[a1,a2,a3,a4,a6] |
j |
23366901604/13505625 |
j-invariant |
L |
3.6820711998154 |
L(r)(E,1)/r! |
Ω |
0.23012944998871 |
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 |
17640bf3 11760y3 5040l3 |
Quadratic twists by: -4 -3 -7 |