Atkin-Lehner |
2- 3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
73944u |
Isogeny class |
Conductor |
73944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
467178192 = 24 · 37 · 132 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-750,7837] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:36:1] [-22:117:1] |
Generators of the group modulo torsion |
j |
4000000000/40053 |
j-invariant |
L |
10.038687095883 |
L(r)(E,1)/r! |
Ω |
1.6713589980369 |
Real period |
R |
1.5015755304016 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24648g1 |
Quadratic twists by: -3 |