Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3540c |
Isogeny class |
Conductor |
3540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-112878068400 = -1 · 24 · 314 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3625,-84350] |
[a1,a2,a3,a4,a6] |
Generators |
[75:245:1] |
Generators of the group modulo torsion |
j |
-329342336352256/7054879275 |
j-invariant |
L |
3.1612865495667 |
L(r)(E,1)/r! |
Ω |
0.30724286542721 |
Real period |
R |
3.4297368686614 |
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 |
14160bb1 56640z1 10620h1 17700k1 |
Quadratic twists by: -4 8 -3 5 |