Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688q |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
408576 |
Modular degree for the optimal curve |
Δ |
-36058196034653184 = -1 · 210 · 38 · 710 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -3 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58424,-10611264] |
[a1,a2,a3,a4,a6] |
Generators |
[310:986:1] |
Generators of the group modulo torsion |
j |
-76247332/124659 |
j-invariant |
L |
6.3589131058989 |
L(r)(E,1)/r! |
Ω |
0.14532696632493 |
Real period |
R |
5.4694882741799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22344bf1 44688v1 |
Quadratic twists by: -4 -7 |