Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656cd |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
31968 |
Modular degree for the optimal curve |
Δ |
-1121904 = -1 · 24 · 33 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -6 -5 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-226,1387] |
[a1,a2,a3,a4,a6] |
Generators |
[9:1:1] |
Generators of the group modulo torsion |
j |
-1635510016/1431 |
j-invariant |
L |
3.1689576177141 |
L(r)(E,1)/r! |
Ω |
2.7325993216552 |
Real period |
R |
1.1596862022155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996472252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31164l1 124656da1 |
Quadratic twists by: -4 -7 |