Atkin-Lehner |
2+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109120o |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
4.11997769282E+20 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 11- 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1999005,478624003] |
[a1,a2,a3,a4,a6] |
Generators |
[126:15125:1] |
Generators of the group modulo torsion |
j |
862711553000150800384/402341571564453125 |
j-invariant |
L |
4.7594761243941 |
L(r)(E,1)/r! |
Ω |
0.15030459313217 |
Real period |
R |
0.4397991680566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120bm1 13640c1 |
Quadratic twists by: -4 8 |