Atkin-Lehner |
2+ 3- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39330o |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-348359575500 = -1 · 22 · 313 · 53 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 1 -3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-630,29200] |
[a1,a2,a3,a4,a6] |
Generators |
[38:224:1] |
Generators of the group modulo torsion |
j |
-37966934881/477859500 |
j-invariant |
L |
4.6991491698847 |
L(r)(E,1)/r! |
Ω |
0.81376086829858 |
Real period |
R |
0.72182586939074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110be1 |
Quadratic twists by: -3 |