Atkin-Lehner |
3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475cb |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-89879959125 = -1 · 313 · 53 · 11 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5- 1 11+ 6 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-365,14762] |
[a1,a2,a3,a4,a6] |
Generators |
[0:121:1] |
Generators of the group modulo torsion |
j |
-58863869/986337 |
j-invariant |
L |
4.615470739379 |
L(r)(E,1)/r! |
Ω |
0.90584302719711 |
Real period |
R |
0.63690266856702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33825bc1 101475by1 |
Quadratic twists by: -3 5 |