Atkin-Lehner |
2+ 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8514d |
Isogeny class |
Conductor |
8514 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
16473888718848 = 216 · 312 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65421,-6421275] |
[a1,a2,a3,a4,a6] |
Generators |
[-3773523770:3263910813:25672375] |
Generators of the group modulo torsion |
j |
42476766863084497/22597926912 |
j-invariant |
L |
3.7223854052182 |
L(r)(E,1)/r! |
Ω |
0.29852713737144 |
Real period |
R |
12.469169262112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68112bu1 2838e1 93654bp1 |
Quadratic twists by: -4 -3 -11 |