Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490bq |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-6388200 = -1 · 23 · 33 · 52 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 6 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43,158] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-10:1] |
Generators of the group modulo torsion |
j |
-50308609/37800 |
j-invariant |
L |
5.7734553657781 |
L(r)(E,1)/r! |
Ω |
2.187414911628 |
Real period |
R |
0.43989942458919 |
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 |
106470ei1 35490dg1 |
Quadratic twists by: -3 13 |