Atkin-Lehner |
2+ 3+ 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650j |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-174754687500 = -1 · 22 · 32 · 58 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 5 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-325,-20375] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-455:1] |
Generators of the group modulo torsion |
j |
-9765625/447372 |
j-invariant |
L |
4.9665818547567 |
L(r)(E,1)/r! |
Ω |
0.44467633485107 |
Real period |
R |
0.46537424019447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999589778 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109650cw1 |
Quadratic twists by: 5 |