Atkin-Lehner |
2- 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630cl |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
40212890513510400 = 212 · 34 · 52 · 78 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1061096,-421038871] |
[a1,a2,a3,a4,a6] |
j |
1123051131566043121/341803929600 |
j-invariant |
L |
3.57009733748 |
L(r)(E,1)/r! |
Ω |
0.14875405573018 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127890co2 6090ba2 |
Quadratic twists by: -3 -7 |