Atkin-Lehner |
3- 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475bf |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2021760 |
Modular degree for the optimal curve |
Δ |
-5118944547041015625 = -1 · 319 · 510 · 11 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11+ -5 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-166055,-111885928] |
[a1,a2,a3,a4,a6] |
j |
-71129467825/719039673 |
j-invariant |
L |
0.20568480812485 |
L(r)(E,1)/r! |
Ω |
0.10284236477245 |
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 |
33825v1 101475ca1 |
Quadratic twists by: -3 5 |