Atkin-Lehner |
2+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
47974a |
Isogeny class |
Conductor |
47974 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-32054691632 = -1 · 24 · 176 · 83 |
Discriminant |
Eigenvalues |
2+ 1 2 -1 5 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1885,32488] |
[a1,a2,a3,a4,a6] |
Generators |
[23:26:1] |
Generators of the group modulo torsion |
j |
-30664297/1328 |
j-invariant |
L |
5.8271005466637 |
L(r)(E,1)/r! |
Ω |
1.1593608567985 |
Real period |
R |
2.5130659330447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
166a1 |
Quadratic twists by: 17 |