Atkin-Lehner |
3- 5+ 23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
106605c |
Isogeny class |
Conductor |
106605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-134058452625 = -1 · 39 · 53 · 232 · 103 |
Discriminant |
Eigenvalues |
1 3- 5+ 3 2 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5535,160866] |
[a1,a2,a3,a4,a6] |
Generators |
[90:576:1] |
Generators of the group modulo torsion |
j |
-25727239787761/183893625 |
j-invariant |
L |
7.5871802737629 |
L(r)(E,1)/r! |
Ω |
1.0437969187701 |
Real period |
R |
0.90860350166921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999872869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35535e1 |
Quadratic twists by: -3 |