Atkin-Lehner |
2- 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
94248r |
Isogeny class |
Conductor |
94248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
259584 |
Modular degree for the optimal curve |
Δ |
-7008092784 = -1 · 24 · 39 · 7 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ -5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66771,6640947] |
[a1,a2,a3,a4,a6] |
Generators |
[153:81:1] |
Generators of the group modulo torsion |
j |
-104538455311104/22253 |
j-invariant |
L |
8.8044181013798 |
L(r)(E,1)/r! |
Ω |
1.0526879199089 |
Real period |
R |
1.0454686915994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003479 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94248e1 |
Quadratic twists by: -3 |