Atkin-Lehner |
2- 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
34122x |
Isogeny class |
Conductor |
34122 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-3192482709504 = -1 · 214 · 36 · 112 · 472 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- -1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2351,-96711] |
[a1,a2,a3,a4,a6] |
Generators |
[118:-1187:1] |
Generators of the group modulo torsion |
j |
-11877027843769/26384154624 |
j-invariant |
L |
10.84559660454 |
L(r)(E,1)/r! |
Ω |
0.32081905845773 |
Real period |
R |
0.20122595882057 |
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 |
102366j1 34122l1 |
Quadratic twists by: -3 -11 |