Atkin-Lehner |
2- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12826g |
Isogeny class |
Conductor |
12826 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-10645549053837632 = -1 · 26 · 1112 · 53 |
Discriminant |
Eigenvalues |
2- 1 0 -2 11- -5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38178,-5737852] |
[a1,a2,a3,a4,a6] |
Generators |
[802:21500:1] |
Generators of the group modulo torsion |
j |
-3473824173625/6009134912 |
j-invariant |
L |
7.4781838455221 |
L(r)(E,1)/r! |
Ω |
0.16131625392089 |
Real period |
R |
3.8631072317887 |
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 |
102608p1 115434t1 1166c1 |
Quadratic twists by: -4 -3 -11 |