Atkin-Lehner |
2+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950a |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4866048 |
Modular degree for the optimal curve |
Δ |
1.6173163212569E+21 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11+ -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5642192,4783241216] |
[a1,a2,a3,a4,a6] |
Generators |
[4789:293543:1] |
Generators of the group modulo torsion |
j |
539154389619/43897600 |
j-invariant |
L |
3.5797335361972 |
L(r)(E,1)/r! |
Ω |
0.14655426162167 |
Real period |
R |
6.1064984992628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060295 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22990s1 114950bv1 |
Quadratic twists by: 5 -11 |