Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400y |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
13132800 |
Modular degree for the optimal curve |
Δ |
-4.22295852645E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 4 -7 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76670208,258373698588] |
[a1,a2,a3,a4,a6] |
Generators |
[5379:40344:1] |
Generators of the group modulo torsion |
j |
-9968587788612182600/84459170529 |
j-invariant |
L |
8.5482921332588 |
L(r)(E,1)/r! |
Ω |
0.15092427042376 |
Real period |
R |
1.8879870726984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999856857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98400by1 98400ch1 |
Quadratic twists by: -4 5 |