Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
43296bc |
Isogeny class |
Conductor |
43296 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
4350677272128 = 26 · 37 · 11 · 414 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6898,194072] |
[a1,a2,a3,a4,a6] |
Generators |
[116:-984:1] |
Generators of the group modulo torsion |
j |
567252300952000/67979332377 |
j-invariant |
L |
7.9651685862755 |
L(r)(E,1)/r! |
Ω |
0.75058033673269 |
Real period |
R |
0.75800095667636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43296b1 86592e1 129888c1 |
Quadratic twists by: -4 8 -3 |