Atkin-Lehner |
2- 11- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123728o |
Isogeny class |
Conductor |
123728 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
6789682080862208 = 212 · 119 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 0 4 -2 11- 0 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61088,4249200] |
[a1,a2,a3,a4,a6] |
Generators |
[7275:73205:27] |
Generators of the group modulo torsion |
j |
6155048569503744/1657637226773 |
j-invariant |
L |
9.3019792197471 |
L(r)(E,1)/r! |
Ω |
0.39306127659036 |
Real period |
R |
2.6294965103177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999177904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7733a1 |
Quadratic twists by: -4 |