Atkin-Lehner |
2- 3- 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
113652r |
Isogeny class |
Conductor |
113652 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8709120 |
Modular degree for the optimal curve |
Δ |
-1.5476715474234E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28799895,-62427258434] |
[a1,a2,a3,a4,a6] |
Generators |
[129384286861493902852435914:11592147209080752952898286970:11633710457434471168491] |
Generators of the group modulo torsion |
j |
-14155621171764479314000/829299311676630333 |
j-invariant |
L |
7.9812414983448 |
L(r)(E,1)/r! |
Ω |
0.032474981240682 |
Real period |
R |
40.960975667152 |
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 |
37884p1 |
Quadratic twists by: -3 |