Atkin-Lehner |
2- 11+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
121264k |
Isogeny class |
Conductor |
121264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6747840 |
Modular degree for the optimal curve |
Δ |
-125413790578638848 = -1 · 221 · 11 · 13 · 535 |
Discriminant |
Eigenvalues |
2- 3 -4 3 11+ 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2968507,1968663530] |
[a1,a2,a3,a4,a6] |
Generators |
[-472923:43869824:729] |
Generators of the group modulo torsion |
j |
-706281769252762735761/30618601215488 |
j-invariant |
L |
11.183132887837 |
L(r)(E,1)/r! |
Ω |
0.31035226493604 |
Real period |
R |
9.0084189774763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999599638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15158d1 |
Quadratic twists by: -4 |