Atkin-Lehner |
2- 7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
85358q |
Isogeny class |
Conductor |
85358 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-1398505472 = -1 · 215 · 72 · 13 · 67 |
Discriminant |
Eigenvalues |
2- -1 0 7- -6 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-113,-1905] |
[a1,a2,a3,a4,a6] |
Generators |
[15:0:1] [31:144:1] |
Generators of the group modulo torsion |
j |
-3258390625/28540928 |
j-invariant |
L |
13.00928410272 |
L(r)(E,1)/r! |
Ω |
0.64183741730661 |
Real period |
R |
1.3512543573496 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85358n1 |
Quadratic twists by: -7 |