Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372bf |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
2948400 |
Modular degree for the optimal curve |
Δ |
-2031490919297457072 = -1 · 24 · 33 · 78 · 138 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -4 13+ -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1004761,393336152] |
[a1,a2,a3,a4,a6] |
Generators |
[563:2535:1] |
Generators of the group modulo torsion |
j |
-1490944/27 |
j-invariant |
L |
10.637829798943 |
L(r)(E,1)/r! |
Ω |
0.26209157078256 |
Real period |
R |
1.5032673286329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99372s1 99372bg1 |
Quadratic twists by: -7 13 |