Atkin-Lehner |
2+ 7- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
85358j |
Isogeny class |
Conductor |
85358 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
-11476895248 = -1 · 24 · 77 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,513,2594] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-104:1] |
Generators of the group modulo torsion |
j |
127263527/97552 |
j-invariant |
L |
2.6276335431901 |
L(r)(E,1)/r! |
Ω |
0.81667885879029 |
Real period |
R |
0.80436560635722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12194a1 |
Quadratic twists by: -7 |