Atkin-Lehner |
2+ 3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
115632i |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-9435370544252928 = -1 · 211 · 310 · 114 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4605,-4671902] |
[a1,a2,a3,a4,a6] |
Generators |
[191:1782:1] [887:26406:1] |
Generators of the group modulo torsion |
j |
7233610750/6319773009 |
j-invariant |
L |
12.57351468422 |
L(r)(E,1)/r! |
Ω |
0.19100066444614 |
Real period |
R |
4.1143556759547 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57816b2 38544d2 |
Quadratic twists by: -4 -3 |