Atkin-Lehner |
3- 5- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
46725w |
Isogeny class |
Conductor |
46725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
2.8190580380488E+19 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1222218,452919627] |
[a1,a2,a3,a4,a6] |
Generators |
[3783:221652:1] |
Generators of the group modulo torsion |
j |
1615324378889855104757/225524643043901229 |
j-invariant |
L |
4.5805553060541 |
L(r)(E,1)/r! |
Ω |
0.20209169926317 |
Real period |
R |
7.5552423689672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999672 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46725n1 |
Quadratic twists by: 5 |