Atkin-Lehner |
2+ 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
70886b |
Isogeny class |
Conductor |
70886 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-3260756 = -1 · 22 · 233 · 67 |
Discriminant |
Eigenvalues |
2+ 1 1 -2 -2 -6 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23,94] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:12:1] |
Generators of the group modulo torsion |
j |
-103823/268 |
j-invariant |
L |
4.3909098706631 |
L(r)(E,1)/r! |
Ω |
2.2234224670559 |
Real period |
R |
0.49371070233831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70886a1 |
Quadratic twists by: -23 |