Atkin-Lehner |
2- 3- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720cv |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
1094400 |
Modular degree for the optimal curve |
Δ |
9592655282196480 = 212 · 319 · 5 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -2 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103301,11844339] |
[a1,a2,a3,a4,a6] |
Generators |
[142:243:1] |
Generators of the group modulo torsion |
j |
29763331769995264/2341956856005 |
j-invariant |
L |
9.6767434871487 |
L(r)(E,1)/r! |
Ω |
0.39989170486147 |
Real period |
R |
1.2736005312128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6045c1 |
Quadratic twists by: -4 |