Atkin-Lehner |
7- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44149i |
Isogeny class |
Conductor |
44149 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
36358599907 = 79 · 17 · 53 |
Discriminant |
Eigenvalues |
-1 1 0 7- -3 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-883,4150] |
[a1,a2,a3,a4,a6] |
Generators |
[39:152:1] |
Generators of the group modulo torsion |
j |
647214625/309043 |
j-invariant |
L |
4.0014782030265 |
L(r)(E,1)/r! |
Ω |
1.0316584577757 |
Real period |
R |
1.9393425085893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6307g1 |
Quadratic twists by: -7 |