Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688a |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-21343122864 = -1 · 24 · 34 · 74 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 3 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,229,-6978] |
[a1,a2,a3,a4,a6] |
Generators |
[26:126:1] |
Generators of the group modulo torsion |
j |
34420736/555579 |
j-invariant |
L |
4.5615413769962 |
L(r)(E,1)/r! |
Ω |
0.59072709390936 |
Real period |
R |
1.2869849783501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22344p1 44688bg1 |
Quadratic twists by: -4 -7 |