Atkin-Lehner |
2- 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
106800ba |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7188480 |
Modular degree for the optimal curve |
Δ |
6.9665443282944E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6002008,-3986217488] |
[a1,a2,a3,a4,a6] |
j |
373622928668957521/108852255129600 |
j-invariant |
L |
0.78885826560931 |
L(r)(E,1)/r! |
Ω |
0.098607279316917 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13350e1 21360o1 |
Quadratic twists by: -4 5 |