Atkin-Lehner |
2- 3- 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
42642o |
Isogeny class |
Conductor |
42642 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
2045959350193152 = 210 · 313 · 233 · 103 |
Discriminant |
Eigenvalues |
2- 3- -2 1 -3 -7 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46481,-3172863] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:564:1] [-151:696:1] |
Generators of the group modulo torsion |
j |
15233995156003273/2806528601088 |
j-invariant |
L |
11.780767928385 |
L(r)(E,1)/r! |
Ω |
0.3292808869835 |
Real period |
R |
0.29814383388366 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14214b1 |
Quadratic twists by: -3 |