Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49368p |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
18840643412861952 = 210 · 33 · 119 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1454944,674970800] |
[a1,a2,a3,a4,a6] |
Generators |
[-1357:12342:1] |
Generators of the group modulo torsion |
j |
187761599684068/10385793 |
j-invariant |
L |
6.7656375552231 |
L(r)(E,1)/r! |
Ω |
0.36558744802258 |
Real period |
R |
3.0843680911379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736k1 4488h1 |
Quadratic twists by: -4 -11 |