Atkin-Lehner |
3- 5- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
85425t |
Isogeny class |
Conductor |
85425 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-8822266875 = -1 · 36 · 54 · 172 · 67 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 -4 -4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1858,30544] |
[a1,a2,a3,a4,a6] |
Generators |
[38:127:1] [-326:1601:8] |
Generators of the group modulo torsion |
j |
-1135571660800/14115627 |
j-invariant |
L |
6.0757066488594 |
L(r)(E,1)/r! |
Ω |
1.307285049741 |
Real period |
R |
0.12909933390355 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85425b1 |
Quadratic twists by: 5 |