Atkin-Lehner |
2+ 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680s |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-204876032486400 = -1 · 210 · 312 · 52 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44720,3689700] |
[a1,a2,a3,a4,a6] |
Generators |
[160:-810:1] [-110:2700:1] |
Generators of the group modulo torsion |
j |
-9659148689661124/200074250475 |
j-invariant |
L |
13.629384901758 |
L(r)(E,1)/r! |
Ω |
0.56361420288905 |
Real period |
R |
0.50379411542693 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48840d2 |
Quadratic twists by: -4 |