Atkin-Lehner |
2+ 3+ 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50232c |
Isogeny class |
Conductor |
50232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
456514845696 = 210 · 33 · 74 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 6 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7112,230940] |
[a1,a2,a3,a4,a6] |
j |
38856176479012/445815279 |
j-invariant |
L |
3.7646001052358 |
L(r)(E,1)/r! |
Ω |
0.94115002657741 |
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 |
100464l2 |
Quadratic twists by: -4 |