Atkin-Lehner |
2+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44042a |
Isogeny class |
Conductor |
44042 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-8287978764008 = -1 · 23 · 198 · 61 |
Discriminant |
Eigenvalues |
2+ -1 0 0 4 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,715,138613] |
[a1,a2,a3,a4,a6] |
Generators |
[478:4815:8] |
Generators of the group modulo torsion |
j |
2375/488 |
j-invariant |
L |
3.6510070832739 |
L(r)(E,1)/r! |
Ω |
0.56881876417516 |
Real period |
R |
2.1395256938426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44042e1 |
Quadratic twists by: -19 |