Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
104076f |
Isogeny class |
Conductor |
104076 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-14870795184 = -1 · 24 · 38 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -2 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9408,351281] |
[a1,a2,a3,a4,a6] |
Generators |
[70:-189:1] [-20:729:1] |
Generators of the group modulo torsion |
j |
-3288334336/531 |
j-invariant |
L |
11.248910867048 |
L(r)(E,1)/r! |
Ω |
1.2065637495017 |
Real period |
R |
0.25897491653568 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34692b1 104076k1 |
Quadratic twists by: -3 -7 |