Atkin-Lehner |
31- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64387c |
Isogeny class |
Conductor |
64387 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138600 |
Modular degree for the optimal curve |
Δ |
-59462746627 = -1 · 316 · 67 |
Discriminant |
Eigenvalues |
2 2 2 -2 4 -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-11852,500743] |
[a1,a2,a3,a4,a6] |
Generators |
[-4812236:130711225:140608] |
Generators of the group modulo torsion |
j |
-207474688/67 |
j-invariant |
L |
20.123510593687 |
L(r)(E,1)/r! |
Ω |
1.0883967797499 |
Real period |
R |
9.2445654787485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67a1 |
Quadratic twists by: -31 |