Atkin-Lehner |
3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
107085r |
Isogeny class |
Conductor |
107085 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-353599894074796875 = -1 · 39 · 56 · 117 · 59 |
Discriminant |
Eigenvalues |
0 3- 5- -2 11- -5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-90185,30419681] |
[a1,a2,a3,a4,a6] |
Generators |
[865:-24503:1] [-345:4537:1] |
Generators of the group modulo torsion |
j |
-45790495768576/199597921875 |
j-invariant |
L |
11.547058475184 |
L(r)(E,1)/r! |
Ω |
0.26359546221463 |
Real period |
R |
0.20280547925618 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9735i1 |
Quadratic twists by: -11 |