Atkin-Lehner |
2+ 3+ 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39330a |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-10312326000 = -1 · 24 · 33 · 53 · 192 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 2 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1740,28800] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-45:1] |
Generators of the group modulo torsion |
j |
-21584802646107/381938000 |
j-invariant |
L |
4.6989778739653 |
L(r)(E,1)/r! |
Ω |
1.2874708095254 |
Real period |
R |
0.91244357526394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39330bh1 |
Quadratic twists by: -3 |