Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
10950n |
Isogeny class |
Conductor |
10950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-1231875000 = -1 · 23 · 33 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -6 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2376,44398] |
[a1,a2,a3,a4,a6] |
Generators |
[32:21:1] |
Generators of the group modulo torsion |
j |
-94881210481/78840 |
j-invariant |
L |
4.2160696858542 |
L(r)(E,1)/r! |
Ω |
1.5237991947699 |
Real period |
R |
0.46113574766773 |
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 |
87600bs1 32850by1 2190l1 |
Quadratic twists by: -4 -3 5 |