Atkin-Lehner |
2- 3- 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
101970cl |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2634240 |
Modular degree for the optimal curve |
Δ |
1322351664385950 = 2 · 313 · 52 · 115 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- -1 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9610727,-11465459071] |
[a1,a2,a3,a4,a6] |
j |
134668140782900603180329/1813925465550 |
j-invariant |
L |
3.4298130430692 |
L(r)(E,1)/r! |
Ω |
0.085745334383955 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33990k1 |
Quadratic twists by: -3 |