Atkin-Lehner |
2+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
41200d |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-80468750000 = -1 · 24 · 511 · 103 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 4 -4 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7283,242062] |
[a1,a2,a3,a4,a6] |
Generators |
[346:625:8] |
Generators of the group modulo torsion |
j |
-170912671744/321875 |
j-invariant |
L |
5.0472406578385 |
L(r)(E,1)/r! |
Ω |
1.0842564344242 |
Real period |
R |
1.163756215226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20600d1 8240b1 |
Quadratic twists by: -4 5 |