Atkin-Lehner |
2- 3- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
108528bi |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-2166420307968 = -1 · 215 · 34 · 7 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18144,937332] |
[a1,a2,a3,a4,a6] |
Generators |
[84:-114:1] |
Generators of the group modulo torsion |
j |
-161282338400737/528911208 |
j-invariant |
L |
7.3462366097388 |
L(r)(E,1)/r! |
Ω |
0.82672710729948 |
Real period |
R |
0.37024695251141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13566p1 |
Quadratic twists by: -4 |