Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
49368v |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
295418112 = 28 · 3 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 11+ 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-260,1476] |
[a1,a2,a3,a4,a6] |
Generators |
[4:22:1] |
Generators of the group modulo torsion |
j |
5726576/867 |
j-invariant |
L |
3.7745829333998 |
L(r)(E,1)/r! |
Ω |
1.6567429504379 |
Real period |
R |
0.56957884329506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736z1 49368c1 |
Quadratic twists by: -4 -11 |