Atkin-Lehner |
2- 3+ 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
84048t |
Isogeny class |
Conductor |
84048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-4230274351104 = -1 · 228 · 32 · 17 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3888,31680] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:90:1] [17:320:1] |
Generators of the group modulo torsion |
j |
1586466211247/1032781824 |
j-invariant |
L |
9.1275470920609 |
L(r)(E,1)/r! |
Ω |
0.48676088431077 |
Real period |
R |
9.3758017399739 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10506h1 |
Quadratic twists by: -4 |