Atkin-Lehner |
2+ 3+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45408a |
Isogeny class |
Conductor |
45408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
8703078912 = 29 · 33 · 114 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 11+ -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12424,537160] |
[a1,a2,a3,a4,a6] |
Generators |
[81:236:1] |
Generators of the group modulo torsion |
j |
414260032523336/16998201 |
j-invariant |
L |
2.2556914048271 |
L(r)(E,1)/r! |
Ω |
1.2241308740899 |
Real period |
R |
3.6853762167986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45408f4 90816cv4 |
Quadratic twists by: -4 8 |