Atkin-Lehner |
2+ 3+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
25896c |
Isogeny class |
Conductor |
25896 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
1537536 |
Modular degree for the optimal curve |
Δ |
-6.2959657895438E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 1 4 -3 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11630600,-15733108692] |
[a1,a2,a3,a4,a6] |
Generators |
[6153490:381660643:1000] |
Generators of the group modulo torsion |
j |
-84957193291579716790802/3074202045675702357 |
j-invariant |
L |
5.5648355986333 |
L(r)(E,1)/r! |
Ω |
0.040789370619525 |
Real period |
R |
4.134199160603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51792e1 77688f1 |
Quadratic twists by: -4 -3 |