Atkin-Lehner |
2- 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10010s |
Isogeny class |
Conductor |
10010 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-35223382235041000 = -1 · 23 · 53 · 76 · 116 · 132 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-118311,-18089615] |
[a1,a2,a3,a4,a6] |
j |
-183146792453150159089/35223382235041000 |
j-invariant |
L |
2.2929381314372 |
L(r)(E,1)/r! |
Ω |
0.12738545174651 |
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 |
80080x4 90090ce4 50050e4 70070bz4 |
Quadratic twists by: -4 -3 5 -7 |