Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42900be |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
14446080 |
Modular degree for the optimal curve |
Δ |
-7.8182557857422E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 13- -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1334469533,-18764308553937] |
[a1,a2,a3,a4,a6] |
Generators |
[3269092:435703125:64] |
Generators of the group modulo torsion |
j |
-65703682316544535580729344/1954563946435546875 |
j-invariant |
L |
7.2643133941397 |
L(r)(E,1)/r! |
Ω |
0.012489401238003 |
Real period |
R |
2.4234926798143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128700k1 8580a1 |
Quadratic twists by: -3 5 |