Atkin-Lehner |
2+ 3- 7- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118818n |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
209280 |
Modular degree for the optimal curve |
Δ |
117098347086 = 2 · 36 · 7 · 234 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 2 4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5283,148207] |
[a1,a2,a3,a4,a6] |
Generators |
[4845:487:125] |
Generators of the group modulo torsion |
j |
22370941181233/160628734 |
j-invariant |
L |
7.125480789748 |
L(r)(E,1)/r! |
Ω |
1.0555813897235 |
Real period |
R |
3.3751451299221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13202m1 |
Quadratic twists by: -3 |