Atkin-Lehner |
2+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
41200b |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-16480000000 = -1 · 211 · 57 · 103 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -3 -7 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,325,-5750] |
[a1,a2,a3,a4,a6] |
Generators |
[15:50:1] |
Generators of the group modulo torsion |
j |
118638/515 |
j-invariant |
L |
3.4986722983288 |
L(r)(E,1)/r! |
Ω |
0.62496194730696 |
Real period |
R |
0.69977706510777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20600q1 8240e1 |
Quadratic twists by: -4 5 |