Atkin-Lehner |
2- 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44770p |
Isogeny class |
Conductor |
44770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
18221390000 = 24 · 54 · 113 · 372 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-727,-3649] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:64:1] |
Generators of the group modulo torsion |
j |
31885169211/13690000 |
j-invariant |
L |
7.132988202903 |
L(r)(E,1)/r! |
Ω |
0.95592682465945 |
Real period |
R |
0.46636599285721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44770d2 |
Quadratic twists by: -11 |