Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968cz |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7451136 |
Modular degree for the optimal curve |
Δ |
-1.2593737982535E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50291835,137276973482] |
[a1,a2,a3,a4,a6] |
j |
-4904170882875/43904 |
j-invariant |
L |
2.0064733758506 |
L(r)(E,1)/r! |
Ω |
0.16720613723983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15246z1 121968da2 121968co1 |
Quadratic twists by: -4 -3 -11 |