Atkin-Lehner |
2- 3+ 5- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650cm |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
32832 |
Modular degree for the optimal curve |
Δ |
-140352000 = -1 · 29 · 3 · 53 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 0 1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-68,581] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-23:1] |
Generators of the group modulo torsion |
j |
-278445077/1122816 |
j-invariant |
L |
10.510768284458 |
L(r)(E,1)/r! |
Ω |
1.6043536120252 |
Real period |
R |
0.36396687530187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109650bi1 |
Quadratic twists by: 5 |