Atkin-Lehner |
2+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
39494f |
Isogeny class |
Conductor |
39494 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
5055232 = 28 · 72 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- 0 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-46,-76] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:10:1] |
Generators of the group modulo torsion |
j |
227232313/103168 |
j-invariant |
L |
2.2728622203805 |
L(r)(E,1)/r! |
Ω |
1.9080594900217 |
Real period |
R |
0.59559521919161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39494b1 |
Quadratic twists by: -7 |