Atkin-Lehner |
5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10075d |
Isogeny class |
Conductor |
10075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-10232421875 = -1 · 59 · 132 · 31 |
Discriminant |
Eigenvalues |
2 3 5+ 4 -6 13- 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3175,69031] |
[a1,a2,a3,a4,a6] |
j |
-226534772736/654875 |
j-invariant |
L |
10.328014895488 |
L(r)(E,1)/r! |
Ω |
1.2910018619361 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90675bc1 2015c1 |
Quadratic twists by: -3 5 |