Atkin-Lehner |
2- 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
94302cd |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
548352 |
Modular degree for the optimal curve |
Δ |
-76574901726882 = -1 · 2 · 39 · 137 · 31 |
Discriminant |
Eigenvalues |
2- 3- 4 -3 -4 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16763,-931251] |
[a1,a2,a3,a4,a6] |
Generators |
[1509220:12125781:8000] |
Generators of the group modulo torsion |
j |
-148035889/21762 |
j-invariant |
L |
12.097149441567 |
L(r)(E,1)/r! |
Ω |
0.20809739458427 |
Real period |
R |
7.2665190428454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31434d1 7254h1 |
Quadratic twists by: -3 13 |