Atkin-Lehner |
2+ 7- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
111622b |
Isogeny class |
Conductor |
111622 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-17094394052848 = -1 · 24 · 77 · 172 · 672 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 4 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2312,-202896] |
[a1,a2,a3,a4,a6] |
j |
-11619959625/145299952 |
j-invariant |
L |
1.1829699162261 |
L(r)(E,1)/r! |
Ω |
0.29574253033121 |
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 |
15946c1 |
Quadratic twists by: -7 |