Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
43400m |
Isogeny class |
Conductor |
43400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-48608000 = -1 · 28 · 53 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 0 -6 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-220,1300] |
[a1,a2,a3,a4,a6] |
Generators |
[6:14:1] [-10:50:1] |
Generators of the group modulo torsion |
j |
-36799488/1519 |
j-invariant |
L |
5.9152208960111 |
L(r)(E,1)/r! |
Ω |
1.9928090358472 |
Real period |
R |
0.18551767848819 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86800s1 43400u1 |
Quadratic twists by: -4 5 |