Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
35490dr |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
1680 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-3766993776000000 = -1 · 210 · 37 · 56 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11690,2913572] |
[a1,a2,a3,a4,a6] |
Generators |
[1184:-41542:1] |
Generators of the group modulo torsion |
j |
80414592731747/1714608000000 |
j-invariant |
L |
10.609528192576 |
L(r)(E,1)/r! |
Ω |
0.33077779462668 |
Real period |
R |
0.076367827046567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470bo1 35490bj1 |
Quadratic twists by: -3 13 |