Atkin-Lehner |
2- 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370ci |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
12479547994214400 = 212 · 33 · 52 · 11 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-766145,257740607] |
[a1,a2,a3,a4,a6] |
Generators |
[515:56:1] |
Generators of the group modulo torsion |
j |
2060455000819249/517017600 |
j-invariant |
L |
8.9858603850857 |
L(r)(E,1)/r! |
Ω |
0.39033086346037 |
Real period |
R |
3.8368562112278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974123 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5610bi1 |
Quadratic twists by: 17 |