Atkin-Lehner |
2- 3- 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450ci |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
462 |
Product of Tamagawa factors cp |
deg |
3991680 |
Modular degree for the optimal curve |
Δ |
1.4730121108426E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 1 -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1473488,-364785408] |
[a1,a2,a3,a4,a6] |
Generators |
[-512:-15728:1] |
Generators of the group modulo torsion |
j |
22643497811986095673/9427277509392384 |
j-invariant |
L |
13.94717273306 |
L(r)(E,1)/r! |
Ω |
0.14217746190762 |
Real period |
R |
0.21233102023455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009338 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4218b1 |
Quadratic twists by: 5 |