Atkin-Lehner |
2- 5- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
17710g |
Isogeny class |
Conductor |
17710 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
15448152473600 = 218 · 52 · 7 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-48255,4055525] |
[a1,a2,a3,a4,a6] |
Generators |
[195:1354:1] |
Generators of the group modulo torsion |
j |
12426568967448785521/15448152473600 |
j-invariant |
L |
10.576355376026 |
L(r)(E,1)/r! |
Ω |
0.69711979551847 |
Real period |
R |
0.84286130224022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88550s1 123970x1 |
Quadratic twists by: 5 -7 |