Atkin-Lehner |
2- 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
121128bd |
Isogeny class |
Conductor |
121128 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
15830367549696 = 28 · 36 · 77 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8585012,-9684737280] |
[a1,a2,a3,a4,a6] |
Generators |
[5035:273420:1] |
Generators of the group modulo torsion |
j |
2323369463064342352/525609 |
j-invariant |
L |
10.407521046216 |
L(r)(E,1)/r! |
Ω |
0.088199134585277 |
Real period |
R |
4.9166776162119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999878774 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17304d1 |
Quadratic twists by: -7 |