Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344fv |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2018525184 = -1 · 214 · 36 · 132 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 0 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156,-2288] |
[a1,a2,a3,a4,a6] |
Generators |
[38:216:1] |
Generators of the group modulo torsion |
j |
-208 |
j-invariant |
L |
6.7181701621399 |
L(r)(E,1)/r! |
Ω |
0.61096066577092 |
Real period |
R |
1.3745095493541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344cn1 24336ca1 10816bh1 97344ga1 |
Quadratic twists by: -4 8 -3 13 |