Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688bz |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
2222733795408 = 24 · 310 · 73 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15437,739908] |
[a1,a2,a3,a4,a6] |
Generators |
[16032:382382:27] |
Generators of the group modulo torsion |
j |
74135539941376/405017091 |
j-invariant |
L |
6.2794547467228 |
L(r)(E,1)/r! |
Ω |
0.82601025228574 |
Real period |
R |
7.6021510984346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999848 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11172u1 44688dp1 |
Quadratic twists by: -4 -7 |