Atkin-Lehner |
2- 3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
122412a |
Isogeny class |
Conductor |
122412 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1958400 |
Modular degree for the optimal curve |
Δ |
247019985125455104 = 28 · 32 · 1017 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 -2 1 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1686565,-842147711] |
[a1,a2,a3,a4,a6] |
Generators |
[-749:582:1] [5791:428442:1] |
Generators of the group modulo torsion |
j |
1952382976/909 |
j-invariant |
L |
9.5624266890064 |
L(r)(E,1)/r! |
Ω |
0.13248322698479 |
Real period |
R |
3.0074331267306 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999951073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1212a1 |
Quadratic twists by: 101 |