Atkin-Lehner |
2+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
126736b |
Isogeny class |
Conductor |
126736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61952 |
Modular degree for the optimal curve |
Δ |
-721888256 = -1 · 210 · 893 |
Discriminant |
Eigenvalues |
2+ -1 -3 -4 -4 4 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,208,-656] |
[a1,a2,a3,a4,a6] |
Generators |
[30:178:1] |
Generators of the group modulo torsion |
j |
1372 |
j-invariant |
L |
2.5207246541528 |
L(r)(E,1)/r! |
Ω |
0.90084395215493 |
Real period |
R |
0.69954536082184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999993015312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63368b1 126736a1 |
Quadratic twists by: -4 89 |