Atkin-Lehner |
5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111265c |
Isogeny class |
Conductor |
111265 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
-85151429727595 = -1 · 5 · 73 · 112 · 177 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 11+ -1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1541,-445095] |
[a1,a2,a3,a4,a6] |
Generators |
[147:-1590:1] [215:3034:1] |
Generators of the group modulo torsion |
j |
-16777216/3527755 |
j-invariant |
L |
6.0102626010616 |
L(r)(E,1)/r! |
Ω |
0.27050659834945 |
Real period |
R |
0.92577264250397 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6545e1 |
Quadratic twists by: 17 |