Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119646da |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
186 |
Product of Tamagawa factors cp |
deg |
36426240 |
Modular degree for the optimal curve |
Δ |
-2.0345183901474E+25 |
Discriminant |
Eigenvalues |
2- 3- -2 4 5 2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,30427744,-207183339709] |
[a1,a2,a3,a4,a6] |
Generators |
[5997:433969:1] |
Generators of the group modulo torsion |
j |
612652326869447/4000762036224 |
j-invariant |
L |
12.611717964884 |
L(r)(E,1)/r! |
Ω |
0.03409743110063 |
Real period |
R |
1.9885643281186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001886 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39882bd1 119646cb1 |
Quadratic twists by: -3 17 |