Atkin-Lehner |
3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
107085r |
Isogeny class |
Conductor |
107085 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-326884233710175075 = -1 · 33 · 52 · 119 · 593 |
Discriminant |
Eigenvalues |
0 3- 5- -2 11- -5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10707935,13483190606] |
[a1,a2,a3,a4,a6] |
Generators |
[2020:-9983:1] [-642:141751:1] |
Generators of the group modulo torsion |
j |
-76645175052743704576/184517628075 |
j-invariant |
L |
11.547058475184 |
L(r)(E,1)/r! |
Ω |
0.26359546221463 |
Real period |
R |
1.8252493133056 |
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 |
9735i2 |
Quadratic twists by: -11 |