Atkin-Lehner |
2+ 3+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109554d |
Isogeny class |
Conductor |
109554 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11784960 |
Modular degree for the optimal curve |
Δ |
9.7044142016601E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 0 -3 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15138172,22614446800] |
[a1,a2,a3,a4,a6] |
Generators |
[-2483:213142:1] |
Generators of the group modulo torsion |
j |
449832171462601/1137825792 |
j-invariant |
L |
2.7321110752368 |
L(r)(E,1)/r! |
Ω |
0.1569903115288 |
Real period |
R |
2.9005092251193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999786797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109554n1 |
Quadratic twists by: -31 |