Atkin-Lehner |
2- 11+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
35464b |
Isogeny class |
Conductor |
35464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3968 |
Modular degree for the optimal curve |
Δ |
-10142704 = -1 · 24 · 112 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 0 -1 1 11+ 13+ -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23,159] |
[a1,a2,a3,a4,a6] |
Generators |
[5:13:1] [2:11:1] |
Generators of the group modulo torsion |
j |
-84098304/633919 |
j-invariant |
L |
8.2268271185403 |
L(r)(E,1)/r! |
Ω |
1.9653113900811 |
Real period |
R |
0.52325213958856 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70928d1 |
Quadratic twists by: -4 |