Atkin-Lehner |
17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
76313c |
Isogeny class |
Conductor |
76313 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1723392 |
Modular degree for the optimal curve |
Δ |
1995010499835777233 = 173 · 678 |
Discriminant |
Eigenvalues |
1 2 4 2 -2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-359213,-47570320] |
[a1,a2,a3,a4,a6] |
Generators |
[-1144996518575331597010:-1243372905829914334117:2218413898608461000] |
Generators of the group modulo torsion |
j |
56667352321/22054457 |
j-invariant |
L |
16.005748782878 |
L(r)(E,1)/r! |
Ω |
0.20158283235292 |
Real period |
R |
26.466785544999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1139b1 |
Quadratic twists by: -67 |