Atkin-Lehner |
3- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
74235k |
Isogeny class |
Conductor |
74235 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
26994937668534045 = 32 · 5 · 78 · 1014 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-586654,172720391] |
[a1,a2,a3,a4,a6] |
Generators |
[21088359970:-2395546044211:1643032] |
Generators of the group modulo torsion |
j |
189793142380263241/229453184205 |
j-invariant |
L |
10.349236355681 |
L(r)(E,1)/r! |
Ω |
0.37409973390394 |
Real period |
R |
13.832188877161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10605d3 |
Quadratic twists by: -7 |