Atkin-Lehner |
2- 3- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
94248t |
Isogeny class |
Conductor |
94248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
22278726960336 = 24 · 39 · 7 · 112 · 174 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69474,-7044595] |
[a1,a2,a3,a4,a6] |
Generators |
[17490:400265:27] |
Generators of the group modulo torsion |
j |
3179384949839872/1910041749 |
j-invariant |
L |
6.7072555902066 |
L(r)(E,1)/r! |
Ω |
0.29407603819783 |
Real period |
R |
5.7019739067675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006811 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31416b1 |
Quadratic twists by: -3 |