Atkin-Lehner |
2+ 3+ 7- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
42294g |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
20160365568 = 210 · 3 · 73 · 192 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 2 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-933,8205] |
[a1,a2,a3,a4,a6] |
j |
89969592967129/20160365568 |
j-invariant |
L |
3.4383847378048 |
L(r)(E,1)/r! |
Ω |
1.1461282460265 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882bq1 |
Quadratic twists by: -3 |