Atkin-Lehner |
2+ 3- 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
110550o |
Isogeny class |
Conductor |
110550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-1.3527463166976E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 11+ 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9600526,-11451775552] |
[a1,a2,a3,a4,a6] |
Generators |
[87379929:248928113:24389] |
Generators of the group modulo torsion |
j |
-6263090762679682219729/865757642686464 |
j-invariant |
L |
3.7822886560222 |
L(r)(E,1)/r! |
Ω |
0.042883695709991 |
Real period |
R |
7.3498964526941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999479018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4422i1 |
Quadratic twists by: 5 |