Atkin-Lehner |
2+ 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928p |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-36046720991232 = -1 · 227 · 33 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 3 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7380,-154576] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1536:1] |
Generators of the group modulo torsion |
j |
6280426125/5092864 |
j-invariant |
L |
8.31184736993 |
L(r)(E,1)/r! |
Ω |
0.36118573980799 |
Real period |
R |
0.95886115471718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999482402 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928ct1 3654p1 116928l2 |
Quadratic twists by: -4 8 -3 |