Atkin-Lehner |
2- 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592cd |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24600576 |
Modular degree for the optimal curve |
Δ |
-482564144193601536 = -1 · 226 · 32 · 117 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 -5 11+ 6 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-617109537,-5900330797119] |
[a1,a2,a3,a4,a6] |
Generators |
[177838295847523122783302981342217:22408565281360272387714362671998276:4816718905846005416082152411] |
Generators of the group modulo torsion |
j |
-99144942546405114122445577/1840836121344 |
j-invariant |
L |
3.1560987619259 |
L(r)(E,1)/r! |
Ω |
0.015145338852263 |
Real period |
R |
52.096866116904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592br1 21648bh1 |
Quadratic twists by: -4 8 |