Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372bm |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-225721213255273008 = -1 · 24 · 3 · 78 · 138 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-242909,-51519168] |
[a1,a2,a3,a4,a6] |
j |
-174456832/24843 |
j-invariant |
L |
0.42673002715037 |
L(r)(E,1)/r! |
Ω |
0.10668250467647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14196b1 7644k1 |
Quadratic twists by: -7 13 |