Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
23400d |
Isogeny class |
Conductor |
23400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1303238430000000000 = 210 · 33 · 510 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 13- 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-945075,-349337250] |
[a1,a2,a3,a4,a6] |
j |
216092050322508/3016755625 |
j-invariant |
L |
1.8389980489478 |
L(r)(E,1)/r! |
Ω |
0.15324983741232 |
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 |
46800f2 23400bb2 4680j2 |
Quadratic twists by: -4 -3 5 |