Atkin-Lehner |
2- 3- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
94248u |
Isogeny class |
Conductor |
94248 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
319776678144 = 28 · 36 · 72 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1791,10530] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-306:1] [-38:154:1] |
Generators of the group modulo torsion |
j |
3404418768/1713481 |
j-invariant |
L |
9.3291190102871 |
L(r)(E,1)/r! |
Ω |
0.85426225537288 |
Real period |
R |
1.36508416349 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10472a2 |
Quadratic twists by: -3 |