Atkin-Lehner |
3+ 5- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
101775i |
Isogeny class |
Conductor |
101775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
426240 |
Modular degree for the optimal curve |
Δ |
-8472521990914875 = -1 · 315 · 53 · 23 · 593 |
Discriminant |
Eigenvalues |
-1 3+ 5- 1 0 -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,50817,434856] |
[a1,a2,a3,a4,a6] |
j |
116102142258266107/67780175927319 |
j-invariant |
L |
0.49974580377395 |
L(r)(E,1)/r! |
Ω |
0.24987288363587 |
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 |
101775r1 |
Quadratic twists by: 5 |