Atkin-Lehner |
2- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
3484a |
Isogeny class |
Conductor |
3484 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-13012210432 = -1 · 28 · 132 · 673 |
Discriminant |
Eigenvalues |
2- 0 2 4 -2 13+ 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1544,23988] |
[a1,a2,a3,a4,a6] |
j |
-1590104383488/50828947 |
j-invariant |
L |
2.5102910647436 |
L(r)(E,1)/r! |
Ω |
1.2551455323718 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13936b1 55744g1 31356g1 87100o1 |
Quadratic twists by: -4 8 -3 5 |