Atkin-Lehner |
2- 13+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109174n |
Isogeny class |
Conductor |
109174 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-111794176 = -1 · 211 · 132 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -2 1 2 -3 13+ 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,120,64] |
[a1,a2,a3,a4,a6] |
Generators |
[0:8:1] |
Generators of the group modulo torsion |
j |
1130197991/661504 |
j-invariant |
L |
8.1492103298474 |
L(r)(E,1)/r! |
Ω |
1.1352524466464 |
Real period |
R |
0.65257494530788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109174g1 |
Quadratic twists by: 13 |