Atkin-Lehner |
2- 3- 7- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378bm |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
468 |
Product of Tamagawa factors cp |
deg |
3639168 |
Modular degree for the optimal curve |
Δ |
-1.0881636073338E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 -4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1233248,728156675] |
[a1,a2,a3,a4,a6] |
Generators |
[2955:-152741:1] |
Generators of the group modulo torsion |
j |
-284542480488762047161/149267984545107456 |
j-invariant |
L |
9.3965747722166 |
L(r)(E,1)/r! |
Ω |
0.17478134114953 |
Real period |
R |
0.11487582649017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000101141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42126i1 |
Quadratic twists by: -3 |