Atkin-Lehner |
2+ 3+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768s |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5412161474002944 = 221 · 34 · 17 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62849,-4903551] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:448:1] |
Generators of the group modulo torsion |
j |
104733548000353/20645757576 |
j-invariant |
L |
6.5733684609877 |
L(r)(E,1)/r! |
Ω |
0.30567354901308 |
Real period |
R |
2.688067292466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998582084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120768dv3 3774r3 |
Quadratic twists by: -4 8 |