Atkin-Lehner |
5- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
87035f |
Isogeny class |
Conductor |
87035 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
409344 |
Modular degree for the optimal curve |
Δ |
-52512665164375 = -1 · 54 · 138 · 103 |
Discriminant |
Eigenvalues |
1 2 5- -5 -6 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6087,391136] |
[a1,a2,a3,a4,a6] |
Generators |
[32:464:1] |
Generators of the group modulo torsion |
j |
-30584281/64375 |
j-invariant |
L |
7.756013373479 |
L(r)(E,1)/r! |
Ω |
0.56122693830818 |
Real period |
R |
3.4549363361377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87035d1 |
Quadratic twists by: 13 |