Atkin-Lehner |
2- 3- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824bm |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-964496719872 = -1 · 218 · 36 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2379,65018] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:306:1] |
Generators of the group modulo torsion |
j |
-498677257/323008 |
j-invariant |
L |
8.4770770357263 |
L(r)(E,1)/r! |
Ω |
0.81376706954948 |
Real period |
R |
2.6042701193273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999792916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12978y1 11536e1 |
Quadratic twists by: -4 -3 |