Atkin-Lehner |
2+ 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
121104x |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11432960 |
Modular degree for the optimal curve |
Δ |
-2.9975283135816E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 5 1 -3 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17925915,30377011669] |
[a1,a2,a3,a4,a6] |
Generators |
[4591860:311276807:3375] |
Generators of the group modulo torsion |
j |
-3764768000/177147 |
j-invariant |
L |
7.8336149578005 |
L(r)(E,1)/r! |
Ω |
0.1164343001883 |
Real period |
R |
8.4099089460014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60552z1 40368r1 121104y1 |
Quadratic twists by: -4 -3 29 |