Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79560h |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
197406720 |
Modular degree for the optimal curve |
Δ |
-6.3936873838664E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -1 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82628383683,-9142097425009378] |
[a1,a2,a3,a4,a6] |
Generators |
[270571132577097412275783891633928614622544249717884774:9839494330974408295522216218031820456936309163084864672:813725203132302389917853206099772981825706267811] |
Generators of the group modulo torsion |
j |
-41788232654067676478925951960962/428246593676749551934035 |
j-invariant |
L |
6.40061874029 |
L(r)(E,1)/r! |
Ω |
0.0044523262221522 |
Real period |
R |
79.866099713652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26520t1 |
Quadratic twists by: -3 |