Atkin-Lehner |
3- 11+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48807i |
Isogeny class |
Conductor |
48807 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1010688 |
Modular degree for the optimal curve |
Δ |
240756439243188429 = 37 · 11 · 177 · 293 |
Discriminant |
Eigenvalues |
2 3- -3 -3 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-298479,-58156353] |
[a1,a2,a3,a4,a6] |
Generators |
[-21340:132619:64] |
Generators of the group modulo torsion |
j |
4034015168004739072/330255746561301 |
j-invariant |
L |
7.8206246640215 |
L(r)(E,1)/r! |
Ω |
0.20531677886953 |
Real period |
R |
2.7207520520491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16269i1 |
Quadratic twists by: -3 |