Atkin-Lehner |
2+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
96446d |
Isogeny class |
Conductor |
96446 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2007936 |
Modular degree for the optimal curve |
Δ |
126128364999786296 = 23 · 7 · 838 |
Discriminant |
Eigenvalues |
2+ -2 3 7- -3 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-702822,226082528] |
[a1,a2,a3,a4,a6] |
Generators |
[590959349278421140435496:12250502180899133821473328:627454835028019728379] |
Generators of the group modulo torsion |
j |
17046457/56 |
j-invariant |
L |
4.2657073335587 |
L(r)(E,1)/r! |
Ω |
0.33134408184476 |
Real period |
R |
38.621851730166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
96446i1 |
Quadratic twists by: -83 |