Atkin-Lehner |
2+ 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
124002i |
Isogeny class |
Conductor |
124002 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-33740670403584 = -1 · 210 · 314 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 6 -3 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3906,-293868] |
[a1,a2,a3,a4,a6] |
Generators |
[169:1878:1] |
Generators of the group modulo torsion |
j |
-1312499833/6718464 |
j-invariant |
L |
5.8569761542307 |
L(r)(E,1)/r! |
Ω |
0.27228034958945 |
Real period |
R |
5.3777073297437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41334j1 124002t1 |
Quadratic twists by: -3 -83 |