Atkin-Lehner |
3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475by |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-1404374361328125 = -1 · 313 · 59 · 11 · 41 |
Discriminant |
Eigenvalues |
1 3- 5- -1 11+ -6 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9117,1836166] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:1378:1] |
Generators of the group modulo torsion |
j |
-58863869/986337 |
j-invariant |
L |
4.6314841918896 |
L(r)(E,1)/r! |
Ω |
0.40510531715139 |
Real period |
R |
2.8581975919732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33825l1 101475cb1 |
Quadratic twists by: -3 5 |