Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490bo |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-359336250000 = -1 · 24 · 35 · 57 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 13+ -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4463,117938] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:460:1] |
Generators of the group modulo torsion |
j |
-58153757003329/2126250000 |
j-invariant |
L |
4.66188186356 |
L(r)(E,1)/r! |
Ω |
0.9502187922434 |
Real period |
R |
0.070087345020126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470ed1 35490de1 |
Quadratic twists by: -3 13 |