Atkin-Lehner |
2+ 3- 5- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104130w |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-22272430781250 = -1 · 2 · 36 · 57 · 133 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 0 13- -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6726,78830] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:64:1] [1:292:1] |
Generators of the group modulo torsion |
j |
46156243081311/30552031250 |
j-invariant |
L |
8.4711051845371 |
L(r)(E,1)/r! |
Ω |
0.42517021606577 |
Real period |
R |
0.23719086260337 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11570d1 |
Quadratic twists by: -3 |