Atkin-Lehner |
2- 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
109956t |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-52339056 = -1 · 24 · 3 · 73 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-170,-867] |
[a1,a2,a3,a4,a6] |
Generators |
[19:49:1] |
Generators of the group modulo torsion |
j |
-99588352/9537 |
j-invariant |
L |
6.0400824771388 |
L(r)(E,1)/r! |
Ω |
0.65718565008171 |
Real period |
R |
2.297707827386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109956bf1 |
Quadratic twists by: -7 |