Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728fi |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-13108927567147776 = -1 · 28 · 314 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -6 13- -8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-161112,25493132] |
[a1,a2,a3,a4,a6] |
Generators |
[322:2646:1] |
Generators of the group modulo torsion |
j |
-21064523776/597051 |
j-invariant |
L |
6.1420729504516 |
L(r)(E,1)/r! |
Ω |
0.39724889045848 |
Real period |
R |
1.9326904029267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008389 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22932v1 30576cc1 13104br1 |
Quadratic twists by: -4 -3 -7 |