Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9996l |
Isogeny class |
Conductor |
9996 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-90700760537856 = -1 · 28 · 311 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 3 -3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79445,8604567] |
[a1,a2,a3,a4,a6] |
Generators |
[121:882:1] |
Generators of the group modulo torsion |
j |
-1841198792704/3011499 |
j-invariant |
L |
5.8436648359902 |
L(r)(E,1)/r! |
Ω |
0.60300042528806 |
Real period |
R |
0.14683302463773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39984ca1 29988bd1 204a1 |
Quadratic twists by: -4 -3 -7 |