Atkin-Lehner |
2- 3+ 5- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
100650bx |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4106880 |
Modular degree for the optimal curve |
Δ |
6067202130000 = 24 · 35 · 54 · 11 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 11+ -4 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4359713,3501948431] |
[a1,a2,a3,a4,a6] |
Generators |
[1205:-598:1] |
Generators of the group modulo torsion |
j |
14662816609023261736225/9707523408 |
j-invariant |
L |
6.2387486573057 |
L(r)(E,1)/r! |
Ω |
0.466322547792 |
Real period |
R |
1.1148843743917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100650s1 |
Quadratic twists by: 5 |