Atkin-Lehner |
3+ 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
101775d |
Isogeny class |
Conductor |
101775 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-20025574998046875 = -1 · 33 · 59 · 235 · 59 |
Discriminant |
Eigenvalues |
1 3+ 5+ -1 6 -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,17975,6752500] |
[a1,a2,a3,a4,a6] |
j |
41102915774831/1281636799875 |
j-invariant |
L |
2.8990089310392 |
L(r)(E,1)/r! |
Ω |
0.28990090443961 |
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 |
20355c1 |
Quadratic twists by: 5 |