Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850bm |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-745911204390625000 = -1 · 23 · 59 · 710 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -4 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,180049,-29343702] |
[a1,a2,a3,a4,a6] |
Generators |
[552:15161:1] |
Generators of the group modulo torsion |
j |
2809189531/3246152 |
j-invariant |
L |
1.8530531404807 |
L(r)(E,1)/r! |
Ω |
0.15313984946004 |
Real period |
R |
3.0250995201679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31850cq2 4550n2 |
Quadratic twists by: 5 -7 |