Atkin-Lehner |
2- 3- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113100l |
Isogeny class |
Conductor |
113100 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
283197611063250000 = 24 · 36 · 56 · 133 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-207533,-25927812] |
[a1,a2,a3,a4,a6] |
Generators |
[-333:2523:1] |
Generators of the group modulo torsion |
j |
3954096720707584/1132790444253 |
j-invariant |
L |
9.3208968697303 |
L(r)(E,1)/r! |
Ω |
0.22856198485416 |
Real period |
R |
2.265589356939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4524c1 |
Quadratic twists by: 5 |