Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
95760ck |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-286681200750000 = -1 · 24 · 33 · 56 · 76 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9108,742751] |
[a1,a2,a3,a4,a6] |
Generators |
[17:950:1] |
Generators of the group modulo torsion |
j |
193423408054272/663613890625 |
j-invariant |
L |
6.5299428039634 |
L(r)(E,1)/r! |
Ω |
0.38839694932191 |
Real period |
R |
1.4010457627359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23940e1 95760br3 |
Quadratic twists by: -4 -3 |