Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520ca |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
254260270080 = 210 · 310 · 5 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4512,-114104] |
[a1,a2,a3,a4,a6] |
Generators |
[26170:356148:125] |
Generators of the group modulo torsion |
j |
13608288256/340605 |
j-invariant |
L |
8.0981898742172 |
L(r)(E,1)/r! |
Ω |
0.5834048991945 |
Real period |
R |
6.9404541164048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007319 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520fu1 5220j1 27840bp1 |
Quadratic twists by: -4 8 -3 |