Atkin-Lehner |
11- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86273b |
Isogeny class |
Conductor |
86273 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
152837882153 = 118 · 23 · 31 |
Discriminant |
Eigenvalues |
-1 0 2 2 11- 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1354,4040] |
[a1,a2,a3,a4,a6] |
Generators |
[49380:951536:125] |
Generators of the group modulo torsion |
j |
154854153/86273 |
j-invariant |
L |
5.0135799873973 |
L(r)(E,1)/r! |
Ω |
0.88915927431976 |
Real period |
R |
5.6385623355681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999858322 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7843b1 |
Quadratic twists by: -11 |