Atkin-Lehner |
2+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84640g |
Isogeny class |
Conductor |
84640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
388608 |
Modular degree for the optimal curve |
Δ |
1603808978554880 = 212 · 5 · 238 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 -3 4 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32445,1171637] |
[a1,a2,a3,a4,a6] |
Generators |
[-30805575:748291652:421875] |
Generators of the group modulo torsion |
j |
11776/5 |
j-invariant |
L |
11.172240644843 |
L(r)(E,1)/r! |
Ω |
0.42879791163222 |
Real period |
R |
13.027396286281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001537 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84640w1 84640c1 |
Quadratic twists by: -4 -23 |