Atkin-Lehner |
2+ 3- 7- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118818t |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1631232 |
Modular degree for the optimal curve |
Δ |
-727342586319863808 = -1 · 218 · 36 · 74 · 23 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,221958,-8036172] |
[a1,a2,a3,a4,a6] |
j |
1658851431008609375/997726455857152 |
j-invariant |
L |
0.66390172562324 |
L(r)(E,1)/r! |
Ω |
0.16597550246788 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13202j1 |
Quadratic twists by: -3 |