Atkin-Lehner |
2- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
39760be |
Isogeny class |
Conductor |
39760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
-45167360 = -1 · 28 · 5 · 7 · 712 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -5 -5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,415] |
[a1,a2,a3,a4,a6] |
Generators |
[3:14:1] [18:71:1] |
Generators of the group modulo torsion |
j |
-268435456/176435 |
j-invariant |
L |
10.482356856157 |
L(r)(E,1)/r! |
Ω |
1.866717918275 |
Real period |
R |
1.4038485345772 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9940c1 |
Quadratic twists by: -4 |