Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10350m |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-3253845937500 = -1 · 22 · 39 · 57 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2817,104841] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:363:1] [-26:413:1] |
Generators of the group modulo torsion |
j |
-217081801/285660 |
j-invariant |
L |
4.2411335859474 |
L(r)(E,1)/r! |
Ω |
0.71826833115721 |
Real period |
R |
0.36904153729664 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800ep1 3450y1 2070p1 |
Quadratic twists by: -4 -3 5 |