Atkin-Lehner |
2+ 3- 5- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570y |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
5510100937500000 = 25 · 36 · 510 · 192 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-91779,-10065547] |
[a1,a2,a3,a4,a6] |
Generators |
[367:2179:1] |
Generators of the group modulo torsion |
j |
117281310414437169/7558437500000 |
j-invariant |
L |
7.2066822072207 |
L(r)(E,1)/r! |
Ω |
0.27540123616173 |
Real period |
R |
2.6167937113857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999698367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12730e2 |
Quadratic twists by: -3 |