Atkin-Lehner |
2- 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
59220r |
Isogeny class |
Conductor |
59220 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
18547200 |
Modular degree for the optimal curve |
Δ |
-1.3383489515002E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -6 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,124606392,-152236451068] |
[a1,a2,a3,a4,a6] |
Generators |
[4756:740250:1] |
Generators of the group modulo torsion |
j |
1146508243994676127637504/717136569519556921875 |
j-invariant |
L |
4.6817650152687 |
L(r)(E,1)/r! |
Ω |
0.03362756089955 |
Real period |
R |
0.33148581883904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19740j1 |
Quadratic twists by: -3 |