Atkin-Lehner |
2+ 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39950m |
Isogeny class |
Conductor |
39950 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
231840 |
Modular degree for the optimal curve |
Δ |
-1210638663680000 = -1 · 223 · 54 · 173 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 4 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-100150,12271700] |
[a1,a2,a3,a4,a6] |
j |
-177747430505839225/1937021861888 |
j-invariant |
L |
1.4643082696996 |
L(r)(E,1)/r! |
Ω |
0.48810275658783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39950n1 |
Quadratic twists by: 5 |