Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
118496i |
Isogeny class |
Conductor |
118496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51456 |
Modular degree for the optimal curve |
Δ |
-13271552 = -1 · 29 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3 0 7+ 0 6 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115,506] |
[a1,a2,a3,a4,a6] |
Generators |
[174:154:27] |
Generators of the group modulo torsion |
j |
-621000/49 |
j-invariant |
L |
13.925739799547 |
L(r)(E,1)/r! |
Ω |
2.1951076728922 |
Real period |
R |
3.1719946928854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118496f1 118496l1 |
Quadratic twists by: -4 -23 |