Atkin-Lehner |
2+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
109330b |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
1.614393236722E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72488050,-237527101740] |
[a1,a2,a3,a4,a6] |
Generators |
[4077003868:-341059298990:300763] |
Generators of the group modulo torsion |
j |
70816584854952849249/271407185920 |
j-invariant |
L |
1.5999022936803 |
L(r)(E,1)/r! |
Ω |
0.051740789357122 |
Real period |
R |
15.460744984391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999662303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3770d1 |
Quadratic twists by: 29 |