Atkin-Lehner |
3- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8265a |
Isogeny class |
Conductor |
8265 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
97072425 = 35 · 52 · 19 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 0 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2395,44912] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:218:1] |
Generators of the group modulo torsion |
j |
1519328199685681/97072425 |
j-invariant |
L |
2.810388065184 |
L(r)(E,1)/r! |
Ω |
1.7993367504053 |
Real period |
R |
0.31238044402206 |
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 |
24795f1 41325a1 |
Quadratic twists by: -3 5 |