Atkin-Lehner |
2+ 3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78498q |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13317120 |
Modular degree for the optimal curve |
Δ |
-1.7490214548633E+24 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 0 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64736163,210350268981] |
[a1,a2,a3,a4,a6] |
Generators |
[13239:1287054:1] |
Generators of the group modulo torsion |
j |
-349823363639236564897/20392917791668128 |
j-invariant |
L |
3.9609736541591 |
L(r)(E,1)/r! |
Ω |
0.082666859416644 |
Real period |
R |
5.9893615170032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26166y1 11214e1 |
Quadratic twists by: -3 -7 |