Atkin-Lehner |
3+ 5+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725k |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
57048427734375 = 3 · 510 · 7 · 114 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11- 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-54775,-4943750] |
[a1,a2,a3,a4,a6] |
Generators |
[-1098:1433:8] |
Generators of the group modulo torsion |
j |
1163223676541809/3651099375 |
j-invariant |
L |
7.0065213057888 |
L(r)(E,1)/r! |
Ω |
0.31212954403325 |
Real period |
R |
5.6118697121894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999543712 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21945y3 |
Quadratic twists by: 5 |