Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352bm |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-2589827530752 = -1 · 222 · 36 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8364,304432] |
[a1,a2,a3,a4,a6] |
Generators |
[56:108:1] |
Generators of the group modulo torsion |
j |
-338608873/13552 |
j-invariant |
L |
6.9104280008617 |
L(r)(E,1)/r! |
Ω |
0.80497702948956 |
Real period |
R |
2.1461568925912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352el1 1386h1 4928f1 |
Quadratic twists by: -4 8 -3 |