Atkin-Lehner |
2- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
39494s |
Isogeny class |
Conductor |
39494 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
343200 |
Modular degree for the optimal curve |
Δ |
-1343316556828064 = -1 · 25 · 76 · 135 · 312 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 2 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-691146,-221222716] |
[a1,a2,a3,a4,a6] |
Generators |
[7969024:1209909954:343] |
Generators of the group modulo torsion |
j |
-310345110881179921/11418002336 |
j-invariant |
L |
9.4519678136205 |
L(r)(E,1)/r! |
Ω |
0.082789669208742 |
Real period |
R |
11.416844521733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
806f1 |
Quadratic twists by: -7 |