Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712v |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-1327764976091136 = -1 · 214 · 36 · 113 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 11+ 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81552,-9133792] |
[a1,a2,a3,a4,a6] |
j |
-5022039141376/111166451 |
j-invariant |
L |
2.5393034805837 |
L(r)(E,1)/r! |
Ω |
0.14107238729538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107712eh1 13464h1 11968k1 |
Quadratic twists by: -4 8 -3 |