Atkin-Lehner |
2+ 3- 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39330bd |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
663040 |
Modular degree for the optimal curve |
Δ |
-38921954937187500 = -1 · 22 · 37 · 57 · 195 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -5 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,79686,-3910352] |
[a1,a2,a3,a4,a6] |
Generators |
[1862:80294:1] |
Generators of the group modulo torsion |
j |
76760748228274271/53390884687500 |
j-invariant |
L |
2.8422226054942 |
L(r)(E,1)/r! |
Ω |
0.20565121225946 |
Real period |
R |
0.049359276359684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110v1 |
Quadratic twists by: -3 |