Atkin-Lehner |
2+ 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
39494h |
Isogeny class |
Conductor |
39494 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-138065336864 = -1 · 25 · 77 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- -2 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8943,322309] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-332:1] |
Generators of the group modulo torsion |
j |
-672451615081/1173536 |
j-invariant |
L |
2.5725795152595 |
L(r)(E,1)/r! |
Ω |
1.0359513893257 |
Real period |
R |
0.3104126725642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5642f1 |
Quadratic twists by: -7 |