Atkin-Lehner |
2+ 11- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
98384f |
Isogeny class |
Conductor |
98384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
1278992 = 24 · 11 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 2 -2 1 11- 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44,-85] |
[a1,a2,a3,a4,a6] |
Generators |
[74:117:8] |
Generators of the group modulo torsion |
j |
602275072/79937 |
j-invariant |
L |
9.8622445687038 |
L(r)(E,1)/r! |
Ω |
1.8664197580934 |
Real period |
R |
2.6420221175902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49192f1 |
Quadratic twists by: -4 |