Atkin-Lehner |
2- 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
10906o |
Isogeny class |
Conductor |
10906 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
649823104 = 27 · 73 · 192 · 41 |
Discriminant |
Eigenvalues |
2- -3 -3 7- -2 -6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-219,267] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:34:1] [-9:42:1] |
Generators of the group modulo torsion |
j |
1156633033473/649823104 |
j-invariant |
L |
5.1164795747134 |
L(r)(E,1)/r! |
Ω |
1.3975440480919 |
Real period |
R |
0.087167873113849 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87248p1 98154ba1 76342x1 |
Quadratic twists by: -4 -3 -7 |