Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648bt |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-21955940352 = -1 · 212 · 38 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 5 0 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1155,16706] |
[a1,a2,a3,a4,a6] |
j |
-57066625/7353 |
j-invariant |
L |
4.6823496943355 |
L(r)(E,1)/r! |
Ω |
1.1705875306575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7353h1 39216t1 |
Quadratic twists by: -4 -3 |