Atkin-Lehner |
3- 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
101175s |
Isogeny class |
Conductor |
101175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
108288 |
Modular degree for the optimal curve |
Δ |
-7904296875 = -1 · 3 · 59 · 19 · 71 |
Discriminant |
Eigenvalues |
-2 3- 5+ 3 5 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,342,-3406] |
[a1,a2,a3,a4,a6] |
j |
282300416/505875 |
j-invariant |
L |
2.7566645477254 |
L(r)(E,1)/r! |
Ω |
0.68916602870866 |
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 |
20235g1 |
Quadratic twists by: 5 |