Atkin-Lehner |
2+ 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111720o |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6.0707496157991E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6178845920,-186564687788100] |
[a1,a2,a3,a4,a6] |
j |
216549712715884743061323076/503911331305734830625 |
j-invariant |
L |
3.406147459903 |
L(r)(E,1)/r! |
Ω |
0.017030736870551 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15960f2 |
Quadratic twists by: -7 |