Atkin-Lehner |
2- 5- 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
116560v |
Isogeny class |
Conductor |
116560 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
11943936 |
Modular degree for the optimal curve |
Δ |
-4.312813993984E+24 |
Discriminant |
Eigenvalues |
2- 0 5- 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,602773,-99916631654] |
[a1,a2,a3,a4,a6] |
Generators |
[6645:444416:1] |
Generators of the group modulo torsion |
j |
5913234966832125759/1052933104000000000000 |
j-invariant |
L |
7.0934447850211 |
L(r)(E,1)/r! |
Ω |
0.035754967275536 |
Real period |
R |
2.75542318558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14570j1 |
Quadratic twists by: -4 |