Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108300m |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2606529990924000000 = 28 · 36 · 56 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833308,-282020888] |
[a1,a2,a3,a4,a6] |
Generators |
[41877:8567500:1] |
Generators of the group modulo torsion |
j |
340062928/13851 |
j-invariant |
L |
5.7316470112615 |
L(r)(E,1)/r! |
Ω |
0.15841195238905 |
Real period |
R |
9.0454774836843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4332c2 5700j2 |
Quadratic twists by: 5 -19 |