Atkin-Lehner |
2+ 3- 7- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74214m |
Isogeny class |
Conductor |
74214 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
40438243818 = 2 · 36 · 72 · 19 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2662600416,-52881241210210] |
[a1,a2,a3,a4,a6] |
j |
2863611978939318479176667557377/55470842 |
j-invariant |
L |
1.3450952290426 |
L(r)(E,1)/r! |
Ω |
0.021017112832411 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8246f4 |
Quadratic twists by: -3 |