Atkin-Lehner |
2+ 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640g |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-398146560 = -1 · 210 · 3 · 5 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,184,0] |
[a1,a2,a3,a4,a6] |
Generators |
[4:28:1] [25:140:1] |
Generators of the group modulo torsion |
j |
669136604/388815 |
j-invariant |
L |
7.2442236450294 |
L(r)(E,1)/r! |
Ω |
1.0154766835147 |
Real period |
R |
1.7834539587742 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320u1 115920bu1 |
Quadratic twists by: -4 -3 |