Atkin-Lehner |
3- 5+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
35805m |
Isogeny class |
Conductor |
35805 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
-1142143695 = -1 · 32 · 5 · 74 · 11 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-496,4511] |
[a1,a2,a3,a4,a6] |
Generators |
[5:44:1] |
Generators of the group modulo torsion |
j |
-13496571664129/1142143695 |
j-invariant |
L |
4.1548663329021 |
L(r)(E,1)/r! |
Ω |
1.5121250537187 |
Real period |
R |
0.68692505336844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107415w1 |
Quadratic twists by: -3 |