Atkin-Lehner |
3- 5+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
70725o |
Isogeny class |
Conductor |
70725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
132609375 = 32 · 56 · 23 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 0 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1131601,-463421527] |
[a1,a2,a3,a4,a6] |
Generators |
[-2978569218000558:1486931066041091:4849120870776] |
Generators of the group modulo torsion |
j |
10256120201686185217/8487 |
j-invariant |
L |
10.59011866506 |
L(r)(E,1)/r! |
Ω |
0.14637815538698 |
Real period |
R |
18.086917815957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999995909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2829e3 |
Quadratic twists by: 5 |