Atkin-Lehner |
3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15939b |
Isogeny class |
Conductor |
15939 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2432 |
Modular degree for the optimal curve |
Δ |
-16401231 = -1 · 33 · 74 · 11 · 23 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33,-200] |
[a1,a2,a3,a4,a6] |
Generators |
[12:26:1] |
Generators of the group modulo torsion |
j |
-149721291/607453 |
j-invariant |
L |
5.0361399846536 |
L(r)(E,1)/r! |
Ω |
0.9069363501987 |
Real period |
R |
2.7764572362494 |
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 |
15939a1 111573i1 |
Quadratic twists by: -3 -7 |