Atkin-Lehner |
2+ 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
58176bd |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-2529873176297472 = -1 · 235 · 36 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 4 0 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2196,2419632] |
[a1,a2,a3,a4,a6] |
Generators |
[621:15597:1] |
Generators of the group modulo torsion |
j |
6128487/13238272 |
j-invariant |
L |
7.8430663886762 |
L(r)(E,1)/r! |
Ω |
0.35850985956677 |
Real period |
R |
5.4692124772194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176cl1 1818l1 6464b1 |
Quadratic twists by: -4 8 -3 |