Atkin-Lehner |
2- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
104104t |
Isogeny class |
Conductor |
104104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1046606649088 = -1 · 28 · 7 · 112 · 136 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2084,-62048] |
[a1,a2,a3,a4,a6] |
Generators |
[78:506:1] |
Generators of the group modulo torsion |
j |
-810448/847 |
j-invariant |
L |
3.5507334017939 |
L(r)(E,1)/r! |
Ω |
0.33916448530464 |
Real period |
R |
2.6172650469431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999762998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
616c1 |
Quadratic twists by: 13 |