Atkin-Lehner |
2- 3- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184cv |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
328693026816 = 212 · 33 · 7 · 114 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2472,37620] |
[a1,a2,a3,a4,a6] |
Generators |
[60:330:1] |
Generators of the group modulo torsion |
j |
408023180713/80247321 |
j-invariant |
L |
10.938230359877 |
L(r)(E,1)/r! |
Ω |
0.91373335995473 |
Real period |
R |
0.99757679496689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997637 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6699a1 |
Quadratic twists by: -4 |