Atkin-Lehner |
2+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
4810c |
Isogeny class |
Conductor |
4810 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1040 |
Modular degree for the optimal curve |
Δ |
-39081250 = -1 · 2 · 55 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 1 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-74,-370] |
[a1,a2,a3,a4,a6] |
Generators |
[31:147:1] |
Generators of the group modulo torsion |
j |
-45156047481/39081250 |
j-invariant |
L |
2.9506939344757 |
L(r)(E,1)/r! |
Ω |
0.78487351728772 |
Real period |
R |
0.37594515160511 |
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 |
38480s1 43290bi1 24050q1 62530k1 |
Quadratic twists by: -4 -3 5 13 |