Atkin-Lehner |
2+ 3- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
123504n |
Isogeny class |
Conductor |
123504 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
14595840 |
Modular degree for the optimal curve |
Δ |
-3.0900615249715E+24 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 0 1 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21804156,-93220182612] |
[a1,a2,a3,a4,a6] |
Generators |
[6246:119592:1] |
Generators of the group modulo torsion |
j |
-4478180643687074847323344/12070552831919889418359 |
j-invariant |
L |
6.3968743674128 |
L(r)(E,1)/r! |
Ω |
0.032437640507934 |
Real period |
R |
6.5735097131144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61752a1 |
Quadratic twists by: -4 |