Atkin-Lehner |
2+ 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
43992c |
Isogeny class |
Conductor |
43992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-787783921696512 = -1 · 28 · 318 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15081,1146922] |
[a1,a2,a3,a4,a6] |
Generators |
[446:9828:1] |
Generators of the group modulo torsion |
j |
2032575274928/4221235863 |
j-invariant |
L |
7.219317156272 |
L(r)(E,1)/r! |
Ω |
0.34868136732532 |
Real period |
R |
5.1761563943432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87984e1 14664g1 |
Quadratic twists by: -4 -3 |